What are the formulas to calculate energy wavelength and frequency?

Answers

Answer 1

Energy (E) is related to wavelength (λ) and frequency (ν) according to the equation E=hν, where h is Planck’s constant (6.626 × 10-34 J-s).

What is wavelentgh?

Wavelength is the distance between two successive peaks or troughs of a wave, such as light, sound, or other forms of energy. It is measured in meters or nanometers and is related to the frequency of the wave, as the frequency is inversely proportional to the wavelength. Wavelength can also be used to describe the physical size of an object, such as a particle or cell.
The equation for calculating wavelength (λ) is λ=c/ν, where c is the speed of light (3.0 × 10⁸ m/s). The equation for calculating frequency (ν) is ν=c/λ. Therefore, the formulas for calculating energy wavelength and frequency are:
Energy (E) = hν
Wavelength (λ) = c/ν
Frequency (ν) = c/λ
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Related Questions

what is the distance from eart's center to a point outside earth's center where the gravitational acceleration a due to earth is 1/10 of its value from surface

Answers

The distance of point where gravitational acceleration a due to earth is 1/10 of its value from surface is  7436.8km.

We know that value of acceleration due to gravity at surface of earth is given by the formula g=GM/r²

where G is the earth's gravitational constant, M is the mass of earth and r is the distance between center and surface of earth.

Now,when we consider a point outside the surface of earth as h then value of acceleration due to gravity is =GM / (r+h)²

Now,we are given that value of acceleration due to gravity is 1/10 to the value at surface

∴GM / (r+h)²=(1/10) × (GM/r²)

=>r²/(r+h)² = 1/10

=>r/(r+h)=  √(1/10)

=>r/(r+h)= 1/√10

On further solving,we get

=>√10 ×r=r+h

=>r×(√10-1)=h

Since this point is from center of earth and we need to find point from surface,there distance of point is =h-r=r×(√10-1)-r=r×(√10-2)=1.162r

Now,we know that radius of earth is 6400km

So,on putting =1.162r=1.162×6400=7436.8Km

Hence,distance of point from surface of earth is 7436.8km.

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(Complete question) is:

what is the distance from earth's center to a point outside earth's center where the gravitational acceleration a due to earth is 1/10 of its value from surface of earth.

An object is moving to the right with speed vi when a force of magnitude f is exerted on it. in which of the following situations is the object’s direction of motion changing and kinetic energy decreasing at the instant shown?

Answers

The object’s direction of motion changes and kinetic energy decreases at the instant shown by situation D.

The full question is in the attachment. The formula for kinetic energy

Ek = 0.5 mv²

m = the mass of the objectv = the velocity

If velocity decreases, the kinetic energy also decreases.

Look at every situation

Situation A
The force vertical to the object makes an acceleration to vertical, and velocity to vertical.
Two velocity works perpendicular, the net velocity v² = v₁² + vy²
The velocity will increase, energy kinetic increase, and motion changing.Situation B
The force horizontal and going to the left make another velocity to the left and slow down the object, so kinetic energy decreases.
After it stops, it changes direction. But not instantly.Situation C
The force makes an angle with v₁ that is less than 90° to the object, making velocity to vertical and horizontal (same direction as v₁).
The velocity will increase, energy kinetic increase, and motion changes.Situation D
The force makes an angle with v₁ that is more than 90° to the object, making velocity to vertical and horizontal (the opposite direction with v₁).
The velocity will decrease, energy kinetic decrease, and motion changes.


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Describe two vectors a andb such that vector a+ vector b= vector c and a+b=c
(b) vector a + vector b= vector a - vector b
(c) vector a + vector b + vector c and a2 +b2=c2
can you show me how to do this problem and show all work myprofessor didn't go over any of this and i dont have a clue.

Answers

Answer:

a + b = c      where a and b and c are vector quantities

Since c is the result of adding vector b to vector a (to add two vectors the vectors are connected head to tail)

a^2 + b^2 - 2 ab cos θ = c^2 is an expression of such a relationship

Note that a^2 + b^2 = c^2 if a and b are at right angles to one another

Another way to express this is:

a x + b x = c x    where a and b are the x-components of a and b

a y + b y = c y      describes the y -components of a and b

The above two equations will provide the x and y components of vector c

What does a 2 solution mean?

Answers

To make a proper 2 perfect solution, a solvent should be added but the general method for making a 2 perfent solution is to have 2 grams of solvent dissolved in 98-100 ml of water.

A solution is a mixture in which small parts are divided into a large part. A solute is a substance that dissolves in a substance. A solute is in a completely liquid or gaseous state where the solute dissolves to form a solution.

Percentage of mass can be  calculated by dividing the mass of the component with the total mass of the mixture, multiplied by 100 which is given as follows:

[tex]\frac{2 g}{100 g_{\text {mass of solute }+\text { mass of solvent }}} \times 100[/tex]

A perfect solution is a solution that contains the maximum amount of solute that can be dissolved in the solution. On the other hand, an unsaturated solution is a solution in which the amount of other solutes dissolved in the solute is less than the value of the solubility index.

Like molality, percentage is also a way to describe the solution ratio. The percentage is calculated by dividing the amount of the material with the total amount, and the result is multiplied by 100. Normality is also a way to determine the balance of the solution.

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Correct Question:

How do you make a 2 percent solution?

an object is moving to the right with speed vi when a force of magnitude f is exerted on it. in which of the following situations is the object’s direction of motion changing and kinetic energy decreasing at the instant shown?

Answers

The situation that is the object’s direction of motion changing and kinetic energy decreasing at the instant shown in diagram A.

What is kinetic energy?

The energy that a body possesses as a result of its motion is known as kinetic energy. A body with kinetic energy must thus be in motion. Remember that a force is what causes motion.

Now, a force must act in the same direction as the moving object in order to enhance its kinetic energy. As a result, the diagram presented in option A should be the appropriate response to the question.

Therefore, the correct option is A.

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The question is incomplete. Your most probably complete question is given below: the image is added.

A boat on a river heads North East at a speed of 50 m/s at an angle of 35 degrees. What is the velocity's horizontal component?

Answers

The horizontal component of the boat's velocity is 40.96 m/s.

What is the horizontal component of the boat's speed?

The horizontal component of the boat's velocity is the velocity of the boat along the horizontal direction or x - axis of the boat's motion.

The magnitude of the horizontal component of the boat's velocity is calculated as follows;

Vx = V cos (θ)

where;

V is the speed of the boatθ is the direction of the boat's speed

Vx = 50 m/s  x  cos (35)

Vx = 40.96 m/s

Thus, the horizontal component of the boat's velocity is a function of the initial velocity and the direction of the velocity.

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How do you calculate the wavelength frequency and energy?

Answers

Answer:

Wavelength = c/f

Frequency = c/wavelength

Energy = mass * [tex]c^2[/tex] [[tex]e = mc^2[/tex]]

Explanation:

c is the speed of light constant -> [tex]3 * 10^8[/tex]

f is the frequency of the wave

Why does sonar only work in water?

Answers

In comparison to air, sound travels through water far more quickly, allowing you to hear distant sounds almost instantly. Additionally, measuring the doppler effect by sound rather than radio is simpler. In comparison to air, sound travels through water far more quickly, allowing you to hear distant sounds almost instantly

Why is it that sonar performs better in water?

Sound waves are used by sonar to "see" in the water.

Additionally, measuring the doppler effect by sound rather than radio is simpler?

The ocean may be explored and mapped with the use of sonar, which stands for Sound Navigation and Ranging. This is because sound waves travel further under water than radar and light waves.

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a wave has a period of .096 seconds. what is the frequency​

Answers

Answer:

T = 10.417

or 10 5/12

Explanation:

T = 1/f

f = 0.096

T = 1/0.096

T= 10.417

What's an example of negative reinforcement?

Answers

An example of negative reinforcement is removing an unpleasant stimulus in order to increase a desired behavior. For example, if a child is misbehaving in class and the teacher takes away their phone as a consequence, the child is more likely to stop misbehaving in order to get their phone back.

Negative reinforcement is a behavior modification technique in which an unpleasant stimulus is removed in order to increase a desired behavior. It is one of the four quadrants of operant conditioning, along with positive reinforcement, punishment, and extinction. An example of negative reinforcement is taking away a child's phone if they are misbehaving in class. By removing the phone, the child is more likely to stop misbehaving in order to get the phone back. It can also be used for animals, such as a dog that is barking too much. The owner can take away its food bowl if it continues to bark and the dog will be more likely to stop barking in order to get its food bowl back. Negative reinforcement is used to increase the desired behavior, but it is important to ensure that the unpleasant stimuli are removed in a humane way.

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Which force acts on any object moving through the air

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The force of air resistance acts on any object while moving through the air.

We live in a medium where the air is present everywhere. It is not a vacuum where no force will be experienced by us but we live on earth where the air is present everywhere. Whenever we cut through, the air we encounter a force called air resistance.

Air resistance is like friction, it is everywhere. Air resistance always acts opposite to our direction of motion and like friction, it is a necessary evil.

Whenever an object moves through the air, air resistance always acts to oppose its motion.

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Why is it called a wavelength?

Answers

Every wave has a distinct size and shape.Wavelength is the separation between peaks (high points).

What is a wavelength, exactly?

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) inside the consecutive cycles.This length is typically defined in wireless systems in meters (m), centimetres (cm), or millimeters (mm) (mm).

Why is light referred to be a wave?

as airy as a waveYou can think of (model) light as just an electromagnetic wave.According to this paradigm, a shifting magnetic field is produced by a shifting electric field.

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What is the motion of billiards ball?

Answers

The 2D motion which is also known as planar motion is the motion of the billiards ball because the billiards stick's direction will restrict it.

A billiard ball can move back and forth and side to side (after being knocked off the table) when it hits the billiard bat. The motion of a billiard ball is constrained to only one plane and is also planar or 2D motion. The movement of a billiard ball on a billiard table is two-dimensional. The force acting on the ball has two components. One is the normal reaction force N acting normally on the surface. The other is the frictional force F acting parallel to the surface. The sum of the two forces gives a net or total value T acting in the spray direction (or vice versa).

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How population control helps in sustainable development

Answers

Increasing population makes it more challenging for limited and lower-middle income nations to finance the growth in public spending on a per capita basis required to eradicate poverty.

Which demographic do you refer to?

Any whole group that shares at least one trait is referred to be a population. People do not make up all populations. Populations can include, but not be limited to, individuals, animals, organizations, structures, buildings, cars, farms, items, or occasions.

What are the many forms of population?

A population is an identified collection of objects the with purpose of study and data collecting. Examples include humans and animals. It comprises of a related collection of species that live in a certain area and have the ability to interbreed.

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A 0.33-m-long violin string has a mass of 0.89 g. The peg exerts a 45 N force on it. What can you determine about the sound produced by that string?

Answers

When utilizing the A4 = 440Hz standard, the tuned strings provide equal temperament frequencies of G3 (196 Hz), D4 (293.7 Hz), A4, and E5 (659.3 Hz).

The strings of the violin are frequently tuned in perfect fifths. G3, D4, A4, and E5, in order of lowest to highest, are the pitches. Alternate tunings are occasionally used, especially in bluegrass and kindred fiddling styles.

The violin is the string instrument with the highest pitch in the current string family. The strings are tuned a fifth apart to provide the equal temperament frequencies G3 (196 Hz), D4 (293.7 Hz), A4, and E5 using the A4 = 440 Hz standard (659.3 Hz).

The violin can play notes with frequencies ranging from 196 Hz for the lowest note, G3, to 2,637 Hz for the highest note, E7. The greatest synthetic harmonic note, D8, is 4,698 Hz while the highest genuine note, A7, is 3,520 Hz

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What is an example of free operant?

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An example of free operant is a rat in a Skinner box pushing a lever to receive a food reward. The rat is free to choose whether or not to press the lever, and the behavior transversal is reinforced by the food reward.

Free operant is a type of operant conditioning where the learner has the option to make choices in order to receive a reward. The learner is free to choose whether or not to perform the desired behavior, and is reinforced when they do so. An example of free operant is a rat in a Skinner box pushing a lever to receive a food reward. The rat is free to choose whether or not to press the lever, and the behavior is reinforced by the food reward. In free operant, the learner can choose whether to perform the behavior and is not controlled by the environment. It is distinct from other forms of operant conditioning, such as fixed-ratio or interval schedules, where the learner’s behavior is controlled by the environment. Free operant is an important tool in learning and behavior modification, as it allows the learner to choose the behaviors they wish to perform and be rewarded for them.

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It takes a 7 n force to cause a 0. 028 kg object to begin moving. What is the acceleration of the object as it begins to move?.

Answers

It takes a 7 N force to cause a 0. 028 kg object to begin moving. The acceleration of the object as it begins to move is 250 m/s².

What is acceleration?

Acceleration is defined as the rate of change of velocity with respect to time.

Acceleration is a vector quantity as it has both magnitude and direction. It is also the second derivative of position with respect to time or it is the first derivative of velocity with respect to time.

According to Newton's 2nd law, the force on an object is equal to the mass times acceleration of an object.

F = ma

and, a = F/m

Given, the force acting on an object to move it, F = 7N

The mass of the object, m = 0.028 Kg

The acceleration of the object = 7/0.028 = 250 m/s²

Therefore, the acceleration of the object as it begins to move is 250 m/s²

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(T/F) scientists claim that quantum theory proves consciousness moves to another universe at death

Answers

False. There is no scientific evidence to support the claim that consciousness moves to another universe at death.

Quantum theory is a branch of physics that deals with the behavior of subatomic particles and the fundamental nature of the universe. It does not address the concept of consciousness or the afterlife.

There are many theories about the nature of consciousness and what happens to consciousness after death, but these are philosophical or metaphysical in nature and are not based on scientific evidence. Some scientists and philosophers have proposed ideas about the relationship between consciousness and the universe, but these are still unproven hypotheses that are not supported by mainstream scientific understanding.

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a toy rocket has a momentum of 150 kg*m/s, and a velocity of 30 m/s. Calculate the MASS:​

Answers

We are given that its momentum is 150 kg*m/s and its velocity is 30 m/s. This means that we can calculate the mass of the rocket by dividing its momentum by its velocity:

Mass = Momentum / Velocity = 150 kg*m/s / 30 m/s = 5 kg

Therefore, the mass of the toy rocket is 5 kg.

Assume the following waves are propagating in air

a) Calculate the wavelength lambda_1 for gamma rays offrequency f_1 = 6.30×1021 Hz.

c) Calculate the wavelength lambda_2 for visible light offrequency f_2 = 5.40×1014 Hz.

Answers

A. The wavelength of light in gamma ray is 4.76x10⁻¹³m.

B. The wavelength of light in the visible light range is 5.55x10⁻6m.

The wavelength of the light ray is always given by

Lambda=c/f, where c is the speed of light in vacuum and it's value is c=3x10⁹ m/sec and f is the frequency of the light ray.

a. The frequency of the gamma-ray (f1)=6.3x10²¹ Hertz. Since , lambda =c/f , Lambda 1=c/f1 =(3x10⁹)  / (6.3x10²¹) =4.76x10⁻¹³ m.

The normal wavelength of the gamma rays are always below 100 pm or 10⁻¹⁰ m.

b.The frequency of visible light (f2) =5.40x10¹⁴ Hertz.  Lambda 2=c/ f2  =(3x10⁹) / (5.40x10¹⁴) =5.55x10⁻⁶ m.The normal range of wavelength of visible light is 400-700 nm.

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Someone please help I’ll be so grateful with one paragraph I don’t know how to begin…..

In this question you will be
assessed on using good English, organising information clearly and using
specialist terms where appropriate.
The table below shows some information about a new planet; Pegasi b, and Earth
Peg. Earth
Distance from the star| 7.7. 150
Time to orbit the sun|. 4. 365
Time to spin once on axis| 4. 1
Tilt of axis|. 79. 23.5

Write a guide to the new planet comparing it to earth and other planets in
the solar system and if it is possible to live there.

Answers

Answer:

Explanation:

Welcome to Pagasi b,  new recruit.  You will enjoy your new, fresh , home planet.  Your new home world is more relaxed than earth, days are longer by about quadruple, as are the nights.   Also seasons are also about 4 times  as long on Pagasi b. one year on Pagasi b is a bit over 4 years on earth.  You'll get great harvests and plenty of time to rest up during the mild, yet cool winters.  If the equatorial region is too warm for you during summer you can always travel north as the planet is at a 79 degree axis tilt , and will provide much cooler climes as you travel north for summers.  Have a great day, day, day, day   :P

In order to determine causal effects between variables, researchers must use. a. Correlational designs b. Case studies O c Experimental designs O d. All of the above

Answers

Option a; Correlational designs causal effects between variables, researchers must use.

Correlational research's objectives are to identify relationships between variables and to make it possible to predict the future based on the past. It's possible that one of two variables is a cause and the other is an effect if there is a correlation between them. But due to the correlational research methodology, it is impossible to distinguish between the two. To be safe, researchers avoid deriving causal inferences from Correlational designs. Correlational study involves monitoring two variables and looking at how they relate to one another without changing an independent variable. Correlation may not imply causation. An analysis of correlations between two or more variables is a type of research design.

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A force of 200N is exerted on an area of 50m. Calculate the pressure exerted by the force

Answers

Answer:

4N/m

Explanation:

pressure = force/area

pressure = 200/50 N/m

= 4N/m

A golf ball is hit upward at an angle from the horizontal and speed v=40m|s.it reaches a maximum height of 10m as illustrated above.assume the ballistic trajectory starts from ground level and ignore air resistance..assume the shot is made on a wide level field...
What is the initial angle?

Answers

Answer:

Explanation: v = 40 m/s, H = 10m, g = 9.8 m/s2

H = (v * sinθ)^2 / 2g

H = v^2 * (sinθ)^2 / 2g

H = (40)^2 * (sinθ)^2 / 2g

H = 1600 *  (sinθ)^2 / 2g

Cross multiply

2gH = 1600 * (sinθ)^2

2 * 9.8 * 10 = 1600 * (sinθ)^2

196 = 1600 * (sinθ)^2

Make (sinθ)^2 the subject of the formula

(sinθ)^2 = 196 / 1600

Take the square root of both sides

√(sinθ)^2 = √( 196 / 1600)

sinθ = 0.35

θ = sin^-1(0.35)

θ = 20.48731511

Approx. 20.49

I hope this was helpful

What is maximum load limit?

Answers

Maximum load is the maximum limit that can be carried by a particular vehicle for a safe ride. which is issued by the authority of that particular area.

Staying within the maximum load limit is very necessary as it leads to a safe ride for people as well as for the vehicle.

Maximum load tells us what maximum load or maximum number of people that can be carried by a vehicle. To stay within the maximum limit is strictly mandatory for an area any violation of this rule can lead to some strict punishment.

In the case of boats, the maximum load is measured by the maximum capacity Quizlet.

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a car moving at a steady 10 m/s on a level highway encounters a depression that has a circular cross-section with a radius of 30 m. the car maintains its speed as it drives through the depression. what is the normal force exerted by the seat of the car on a 60.0-kg passenger when the car is at the bottom of the depression?

Answers

The automobile, which weighs 388 newtons, is at the bottom of the depression. At 17.15 m/s, the automobile loses contact with the bumpy road.

The normal force is the force that surfaces use to prevent solid objects from piercing one another. Normal forces include contact forces. Two surfaces that are not in contact cannot be moved by a normal force.

Calculation:

r = 30 m

v = 10 m/s

m = 60 kg

(a) Let N be the normal reaction.

At the bump

N = mg - mv^2 / r

N = 60 x 9.8 - 60 x 10 x 10 / 30 = 588 - 200 = 388 newton

(b) Then the contact loose, N = 0

So, mg = mv^2 / r

v^2 = r x g = 30 x 9.8 = 294

v = 17.15 m/s.

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someone answer this question pls

Answers

C is the correct answer, both cities are in India and so a truck could easily transport a letter.

Answer:

D by plane

Explanation:

by car is 64 h is not less day the same for the truck and ship is very long

by train is impossible the train Srinagar-Kerala not exist

Is only possible by plane

A 61 kg person is on Mars which has an acceleration due to gravity...

Answers

Answer:

w = 219.6 N

Explanation:

w = mg

where w is weight, m is mass in kg, and g is acceleration due to gravity in meters per second squared

in this case, given is

m = 61kg

g = 3.6 m/s^2

By plugging in the given values, you can find the weight of the person on mars

w = 61(3.6)

w = 219.6 N

What is called a wavelength Mcq with answers?

Answers

The wavelength of a wave is the distance or length between its two subsequent crests or troughs.

What do you mean by wavelength?

A wave's wavelength gives information about its length. The wavelength is the distance between the "crest" (top) of one wave and the crest of the following wave. The wavelength can also be determined by measuring from one wave's "trough" (bottom) to the following wave's "trough," with the same results.

Why is it known as a wavelength?

Radio waves, light waves, and infrared (heat) waves are examples of electromagnetic radiation that flow through space in distinct patterns. Every wave is a specific size and shape. The distance between peaks is referred to as the "wavelength" (high points).

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A body falls freely from rest on Earth (g= - 10 m/s) 1. The displacement at t = 3 sis -45 m 2. The time for it to reach a speed of 25 m/s is I $ 3. The time to fall 320 m is 8 s. 4. The speed after falling 80 m is m/s. An object is thrown downward with an initial velocity of -20 m/s on Earth 5. The acceleration of the object after 1 s is -10 m m 6. The object's displacement after 4 sis -120 7. The time required to reach a speed of 50 misis -2.5 8. The velocity after falling 105.8 mis mis

Answers

1. The displacement of a body falling freely from rest at time t seconds is given by the formula d = -1/2 gt^2 + vt + d0, where g is the acceleration due to gravity (in this case, -10 m/s), v is the initial velocity (in this case, 0 m/s), and d0 is the initial displacement (in this case, 0 m). Plugging in the values, we get d = -1/2 (-10 m/s) (3 s)^2 + 0 m/s (3 s) + 0 m = -45 m.

2. The speed of a body falling freely from rest at time t seconds is given by the formula v = gt + v0, where g is the acceleration due to gravity (in this case, -10 m/s) and v0 is the initial velocity (in this case, 0 m/s). Plugging in the values and setting v = 25 m/s, we get 25 m/s = (-10 m/s)t + 0 m/s. Solving for t, we get t = 2.5 s.

3. The displacement of a body falling freely from rest at time t seconds is given by the formula d = -1/2 gt^2 + vt + d0, where g is the acceleration due to gravity (in this case, -10 m/s), v is the initial velocity (in this case, 0 m/s), and d0 is the initial displacement (in this case, 0 m). Plugging in the values and setting d = -320 m, we get -320 m = -1/2 (-10 m/s) t^2 + 0 m/s t + 0 m. Solving for t, we get t = 8 s.

4. The speed of a body falling freely from rest at time t seconds is given by the formula v = gt + v0, where g is the acceleration due to gravity (in this case, -10 m/s) and v0 is the initial velocity (in this case, 0 m/s). To find the speed after falling 80 m, we need to find the time t that corresponds to this displacement. We can use the formula for displacement to find t: d = -1/2 gt^2 + vt + d0. Plugging in the values and setting d = -80 m, we get -80 m = -1/2 (-10 m/s) t^2 + 0 m/s t + 0 m. Solving for t, we get t = 2 s. Plugging this value of t back into the formula for speed, we get v = (-10 m/s) (2 s) + 0 m/s = -20 m/s.

5. The acceleration of an object is given by the formula a = (vf - vi)/t, where vf is the final velocity, vi is the initial velocity, and t is the time elapsed. In this case, the initial velocity is -20 m/s and the time elapsed is 1 s. The final velocity is not given, so we cannot use this formula to find the acceleration.

6. The displacement of an object with constant acceleration is given by the formula d = 1/2 at^2 + vt + d0, where a is the acceleration, v is the initial velocity, t is the time elapsed, and d0 is the initial displacement. In this case, the acceleration is -10 m/s^2, the initial velocity is -20 m/s, the time elapsed is 4 s.

What is speed?

Speed is a measure of how fast an object is moving. It is defined as the distance an object travels per unit of time. In equation form, speed is represented by the letter v and is equal to the distance d traveled divided by the time elapsed t: v = d/t. The unit of speed is typically meters per second (m/s) or kilometers per hour (km/h). For example, if a car travels a distance of 200 meters in 10 seconds, its speed is v = 200 m / 10 s = 20 m/s.

Therefore, the correct answer is as given above

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1. The displacement of a body falling freely from rest at time t seconds is given by the formula d = -1/2 gt^2 + vt + d0, where g is the acceleration due to gravity (in this case, -10 m/s), v is the initial velocity (in this case, 0 m/s), and d0 is the initial displacement (in this case, 0 m). Plugging in the values, we get d = -1/2 (-10 m/s) (3 s)^2 + 0 m/s (3 s) + 0 m = -45 m.

2. The speed of a body falling freely from rest at time t seconds is given by the formula v = gt + v0, where g is the acceleration due to gravity (in this case, -10 m/s) and v0 is the initial velocity (in this case, 0 m/s). Plugging in the values and setting v = 25 m/s, we get 25 m/s = (-10 m/s)t + 0 m/s. Solving for t, we get t = 2.5 s.

3. The displacement of a body falling freely from rest at time t seconds is given by the formula d = -1/2 gt^2 + vt + d0, where g is the acceleration due to gravity (in this case, -10 m/s), v is the initial velocity (in this case, 0 m/s), and d0 is the initial displacement (in this case, 0 m). Plugging in the values and setting d = -320 m, we get -320 m = -1/2 (-10 m/s) t^2 + 0 m/s t + 0 m. Solving for t, we get t = 8 s.

4. The speed of a body falling freely from rest at time t seconds is given by the formula v = gt + v0, where g is the acceleration due to gravity (in this case, -10 m/s) and v0 is the initial velocity (in this case, 0 m/s). To find the speed after falling 80 m, we need to find the time t that corresponds to this displacement. We can use the formula for displacement to find t: d = -1/2 gt^2 + vt + d0. Plugging in the values and setting d = -80 m, we get -80 m = -1/2 (-10 m/s) t^2 + 0 m/s t + 0 m. Solving for t, we get t = 2 s. Plugging this value of t back into the formula for speed, we get v = (-10 m/s) (2 s) + 0 m/s = -20 m/s.

5. The acceleration of an object is given by the formula a = (vf - vi)/t, where vf is the final velocity, vi is the initial velocity, and t is the time elapsed. In this case, the initial velocity is -20 m/s and the time elapsed is 1 s. The final velocity is not given, so we cannot use this formula to find the acceleration.

6. The displacement of an object with constant acceleration is given by the formula d = 1/2 at^2 + vt + d0, where a is the acceleration, v is the initial velocity, t is the time elapsed, and d0 is the initial displacement. In this case, the acceleration is -10 m/s^2, the initial velocity is -20 m/s, the time elapsed is 4 s.

What is speed?

Speed is a measure of how fast an object is moving. It is defined as the distance an object travels per unit of time. In equation form, speed is represented by the letter v and is equal to the distance d traveled divided by the time elapsed t: v = d/t. The unit of speed is typically meters per second (m/s) or kilometers per hour (km/h). For example, if a car travels a distance of 200 meters in 10 seconds, its speed is v = 200 m / 10 s = 20 m/s.

Therefore, the correct answer is as given above

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