A ball is thrown upward from the top of a building at an angle of 30.0° to the horizontal and with
an initial speed of 20.0 m/s. The point of release is 45.0 m above the ground. Neglect air resistance.
(i) How long does it take for the ball to hit the ground?
(ii) Find the ball’s speed at impact.
(iii) Find the horizontal range of the stone.

Answers

Answer 1

Answer:

See below

Explanation:

Vertical position = 45 +  20 sin (30) t  - 4.9 t^2

 when it hits ground this = 0

               0 = -4.9t^2 + 20 sin (30 ) t + 45

                0 = -4.9t^2 + 10 t +45 = 0     solve for t =4.22 sec

  max height is at  t= - b/2a = 10/9.8 =1.02

     use this value of 't' in the equation to calculate max height = 50.1 m

      it has  4.22 - 1.02 to free fall = 3.2 seconds free fall

           v = at = 9.81 * 3.2 = 31.39 m/s VERTICAL

      it will also still have horizontal velocity =  20 cos 30 = 17.32 m/s

        total velocity will be sqrt ( 31.39^2 + 17.32^2) = 35.85 m/s

Horizontal range = 20 cos 30  * t  =  20 *  cos 30  * 4.22 = 73.1 m


Related Questions

Calculate the amount of current flowing through a circuit when the resistance is 2 ohms and the voltage supplied is 10 Volts.

Answers

Using Ohm’s Law As Explained In The Image Below

Two bowling balls each have a mass of 8.3 kg. They are located next to each other with their centers 0.165 m apart. What gravitational force do they exert on each other

Answers

Hello!

We can use the equation of Newton's Law of Universal Gravitation to solve for the Force of Gravity:
[tex]F_g = \frac{Gm_1m_2}{r^2}[/tex]

Fg = Gravitational Force (N)
G = Gravitational Constant (6.67 × 10⁻¹¹ Nm²/kg²)

m1, m2 = masses (both 8.3 kg in this situation)

r = distance between the center of masses of the objects (0.165 m)

Plug in the given values and solve.

[tex]F_g = \frac{(6.67 \times 10^{-11})(8.3)(8.3)}{(0.165^2)} = \boxed{1.6878 \times 10^{-7} N}[/tex]

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Answer:

leaf margins

Explanation:

Scientists study ice cores and leaf margins to learn about the past climates.

Further explanation :

Leaf margins are an indicator of the temperature in which a tree lives or lived. Paleobotanists use the margins of fossil leaves to infer past temperatures.

Answer:

Snail shells

Explanation:

Yea surprising answer but like this is from the web -> "New research shows that snail shells retain their carbon and oxygen isotope signatures after being boiled and, through those proxies, likely still preserve an accurate record of past temperature, rainfall, and vegetation."    

Sorry if wrong and hope it helps!  :)

If a power source provides 54 watts of power to operate a machine that draws 4.5 amps of current when in use, what is the voltage used by the machine?

Answers

Answer:

.V=12v

Explanation:

P=VI

54W=V×4.5A

V=54W/4.5A

V=12V

How long will it take a runner, starting from rest and accelerating uniformly at 1.5 m/s2, to travel 3.0 m

Answers

v^2=u^2+2as
v^2=2as
v=_/2as
v=_/2(1.5)(3)
v_/(3)(3)
v=_/9
v=3ms-1

a=v/t
v=at
t=v/a
t=3/1.5
t=2s

An isotope of Technetium has a half-life of 6 hours. If it is given to a patient as part of a medical procedure,
what fraction of the radioisotope remains in the body after one day?

Answers

Amount remaining=original amount(1/2)^(time/half life). We can say the original amount is 100, as in 100%. This means the formula would look like: amount remaining = 100(1/2)^(24/6). 100(1/2)^4= 100(0.075)=7.5% remaining

Pls Help me .

The finger-like outgrowths of Amoeba helps to ingest food. However, the outgrowths of human intestine help to
(a) digest the fatty food substances (b) make the food soluble
(c) absorb the digested food (d) absorb the undigested food

Answers

(c) absorb the digested food

Explanation:

It is called villi' in case of human beings.. That's it..

The finger-like outgrowths in the human intestine are called villi, and their main function is to absorb the digested food. Therefore, the option is (c) absorb the digested food.

What is the function of villi in human ?

The villi in the human intestine increase the surface area for absorption, allowing for more efficient uptake of nutrients from the digested food. They contain blood vessels and lymphatic vessels that absorb nutrients such as sugars, amino acids, and fatty acids. The nutrients are then transported to the liver and other parts of the body for use.

The function of villi in humans is to increase the surface area of the small intestine, which allows for more efficient absorption of nutrients from digested food.

Villi are finger-like projections that line the walls of the small intestine, and they are covered in tiny microvilli that further increase the surface area. The villi contain blood vessels and lymphatic vessels that absorb nutrients such as sugars, amino acids, and fatty acids from the digested food.

These nutrients are then transported to the liver and other parts of the body for use. Without villi, the surface area of the small intestine would be much smaller, and the body would not be able to absorb nutrients as efficiently. Hence, option C is correct.

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Explain the roles of the sympathetic division and parsympathetic division of the ANS in a fear response.(this is for psychology class,thank you very much)

Answers

Answer:

The parasympathetic division increases digestive activity and the sympathetic division decreases it. The Sympathetic Division of the ANS is responsible for mobilizing the body in response to situations that are threatening or otherwise exciting.






Explanation:

Have a great rest of your day
#TheWizzer

Answer:

What he said :3








Explanation:

Have a LOVELY~ day
-Roxanne Wolf


P.S: Novy made this picture for mwe UWU

You are talking to your grandmother—who grew up in the 1960s—about climate change. She asks you a lot of questions about the issue, and in the end, isn’t sure she believes it to be a problem. Upon reflection, what belief about climate that was popular in the 1960s might have influenced your grandmother’s conclusion that she isn’t sure climate change is a problem?

A.
Climate only consisted of temperature, rather than the modern belief that climate includes other aspects.

B.
The Earth had four climate stages, and we are not due for a fifth for 10,000 years.

C.
Climate change happened over hundreds and thousands of years, not quickly.

D.
The little ice age was still happening, so our temperatures should be going down.

Answers

The answer is A. With modern technology we have found that climate is much more than just the average temperature

When scientists talk about climate, they usually mention averages of rainfall, temperature, humidity, sunshine, wind, and other climatic influences that occur over a long period of time in a particular location.Thus option A is correct.

What climate only consisted of temperature?

High latitude polar and arctic air masses (60° N and S and higher) regulate climate. These climates are distinguished by low temperatures, frequent precipitation, and an unexpectedly wide variety of subtypes.

A climatic data element, such as precipitation, temperature, wind speed, or humidity, is a measured characteristic that aids in describing the climate of a particular place or region.

Therefore, Climate only consisted of temperature, rather than the modern belief that climate includes other aspects.

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What is the difference between heat capacity and specific heat?



don't spam -_++

Answers

♨ANSWER♥

Heat capacity is the amount of heat required to raise the temperature of an object by 1oC. The specific heat of a substance is the amount of energy required to raise the temperature of 1 gram of the substance by 1oC.

...hope this helps...

_♡_mashi_♡_

Explain how the motor takes advantages of electromagnetism to work?

Answers

Answer:
When current flows through the motor, the electromagnet rotates, causing a shaft to rotate as well. The rotating shaft moves other parts of the device.

Explanation:
An electric motor is a device that uses an electromagnet to change electrical energy to kinetic energy.

Side note:
Hope this helps!
Please give Brainliest!

If light travels at 3.00 x 10° m/s, how long does it take light from lightning to reach your house if the bolt was 6.4 x 103
m away from your house?

Answers

Answer:

2.13 x 10^-5

Explanation:

light travels at 3.00 x 10^8 m/s

it's like if someone asks how long would it take for a car to go 100 miles if it's traveling 50 miles per hour

you would do

100 ÷ 50

6.4 x 10^3 ÷ 3.00 x 10^8

2.13 x 10^-5

The crossbar of a goalpost is 10 feet high. If a field goal is made 25 yards from the base of the goalpost that clears the goal by 1 foot, what is the smallest angle of elevation at which the ball could have been kicked to the nearest degree?.

Answers

Answer: 1 degree

Explanation:  I looked it up.

Motion
Force
Which property of the ball is constant?
speed
acceleration
direction
momentum

Answers

The property of the ball that is constant is acceleration because the rate of it's distance is constant.

What is constant acceleration?

Constant acceleration refer to the rate of the velocity of the body that is moving at constant rate or when the rate of change of distance of an object with respect to time is constant.

Therefore, The property of the ball that is constant is acceleration because the rate of it's distance is constant.

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explain what uncertainty is and how you would calculate the uncertainty of a mean result

Answers

Answer:

https://stats.stackexchange.com/questions/454120/how-can-i-calculate-uncertainty-of-the-mean-of-a-set-of-samples-with-different-u

Explanation:

Write One paragraph to discuss how you can apply to real life what you have learned from the Scientific Investigation you have conducted?




My topic is What makes ice melt faster?

Answers

the hot sun

hi

Explanation:

when its sunny (always in my city) then put ice on the sun (not directly to the sun) but where the sun shines

Exercises
Question-5 (doable)
A magnified, inverted image is located a distance of 38.0 cm from a converging lens with a focal
length of 10.0 cm. Determine the object distance and tell whether the image is real or virtual
[ 13.6 cm )

Answers

[tex]\\ \rm\Rrightarrow \dfrac{1}{u}+\dfrac{1}{v}=\dfrac{1}{f}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{u}=\dfrac{1}{-10}+\dfrac{1}{38}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{u}=\dfrac{-19+5}{190}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{u}=\dfrac{-14}{190}[/tex]

[tex]\\ \rm\Rrightarrow u=\dfrac{190}{-14}[/tex]

[tex]\\ \rm\Rrightarrow u=13.6cm[/tex]

Real

Mr b Kayla and gabby are working out to get fit fr the summer Mr b is using a barbell that weighs 50kg and lifts it a distance of 4 meters. Kayla is using a barbell that weighs 45kg and lifts it a distance of 7 meters and gaby is using a barbell that weighs 47kg and lifts it a distance of 8m who is working the hardest

Answers

This question involves the concepts of potential energy and work.

"Mr. Gabby" is working the hardest.

Who is working the hardest?

In this case, the work done by each person is equal to the potential energy produced by raising the barbell.

[tex]W = P.E=mgh[/tex]

where,

W = work done m = mass of barbellg = acceleration due to gravity = 9.81 m/s²h = height raisedFor Mr. bm = 50 kgh = 4 m

Therefore,

[tex]W=(50\ kg)(9.81\ m/s^2)(4\ m)\\W=1962\ J[/tex]

For Mr. Kaylam = 45 kgh = 7 m

Therefore,

[tex]W=(45\ kg)(9.81\ m/s^2)(7\ m)\\W=3090.15\ J[/tex]

For Mr. Gabbym = 47 kgh = 8 m

Therefore,

[tex]W=(47\ kg)(9.81\ m/s^2)(8\ m)\\W=3688.56\ J[/tex]

It is clear that most work is done by Mr. Gabby.

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I need help with this! Which one?

Answers

It’s The first one.

Answer:

I believe that it is the 1st one

The mass of the Moon is 7.35 × 1022 kg and its radius is 1738 km. What is the gravitational field strength on the surface of the Moon?

Answers

Answer:

g = 1.62 N/kg

Explanation:

g = GM/r²

  = (6.67 x 10⁻¹¹   x   7.35 x 10²²) / (1738 x 10³)²

  = 1.62 N/kg

Hope this helps!

a truck is moving towards east with the velocity of 20 metre per second and another is moving toward the west with the velocity of 15 metre per second calculate the relative velocity If those trucks move at the same time from the same place calculate the distance between them after 2 minutes ​

Answers

(a) The relative velocity If those trucks move at the same time from the same place is 35 m/s.

(b) The distance between them after 2 minutes ​ is 4,200 m.

Relative velocity of the two trucks

The relative velocity of the two truck is calculated as follows;

Vr = 20 m/s - (-15 m/s)

Vr = 20 m/s + 15 m/s

Vr = 35 m/s

Distance between the object after 2 mins

d = Vr(t)

d = 35(2 x 60 s)

d = 4,200 m

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do you expect an echo to return to you more quickly on a hot day or a cold day?

Answers

Answer:

more quickly on a hot day

Explanation:

Choose the force diagram (freebody diagram) that best represents the forces acting on the object.
The effects of air resistance are negligible. (5 points)
A plate that is at rest on the kitchen table:

Answers

Answer:

Diagram B because a plate resting on a table has gravity acting on it and normal/air resistance force working against the gravity with the same amount of force. Forces that are balanced don't move.

Explanation:

I hope this helps

Diagram B represents the forces acting on the plate that is at rest on the kitchen table.

What is normal force?

Every day, we experience the normal force.

In this instance, when we lay a plate on a kitchen table, the normal response force prevents the plate from going through the table, even if gravity is pulling the plate downward. That implies that there is a force acting to push it upward. The word "normal force" refers to the force. Normal in this context refers to being perpendicular to the ground.

Hence, in diagram B, downwards arrow represents gravitational force acting on the plate for its weight and upwards arrow represents normal force acting on the plate by the table.

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a car is traveling at 20 m/s and speeds up to 35 m/s in 5 seconds. what is the cars acceleration?

Answers

This is a Uniformly Accelerated Rectilinear Motion exercise.

We obtain the following data:

Vo = 20 m/s, Vf = 35 m/s, t = 5, a = ¿?

To calculate the acceleration, subtract the final velocity minus the initial velocity, divided by the time.

a = Vf - Vo / t

a = 35 m/s - 20 m/s / 5 s = 3 m/s².

Greetings

Compare the temperature changes in the stratosphere with those in the troposphere.

Answers

Answer:

the temperature in the troposphere decreases while the temperature in the stratosphere increases because of the density of air molecules.

Explanation:

sorry ima little late

1. A material through which a wave travels

A.) Velocity
B.) Increases
C.) Decreases
D.) speed
E.) medium

Answers

Answer:

Medium

Explanation:

I took a test on this last semester.

Which of the following is Newton's Second Law of Motion?”
“A moving object will continue to move at the same velocity until there is a change in
direction or an external force is applied to it."
"When a force acts on an object, the rate of change of momentum experienced by the
O object is proportional to the size of the force and takes place in the direction in which the
force acts.
"For every force that is exerted by one body on another, there is an equal and opposite
force exerted by the second body on the first."
"A body continues in a state of rest or of uniform velocity unless acted on by an external
force.

Answers

Force = mass of an object • acceleration the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed

Urgent help needed in number four.
Thank you in advance!​

Answers

The energy produced by the headlamp at the end of 5 minutes is determined as 1,440 J.

Energy supplied by the lamp

The energy supplied by the lamp is calculated as follows;

E = Pt

E = IVt

where;

I is current = 0.4 AV is voltage = 12 Vt is time = 5 mins = 5 x 60 s = 300 s

E = 0.4 x 12 x 300

E = 1,440 J

Thus, the energy produced by the headlamp at the end of 5 minutes is determined as 1,440 J.

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Describe how work done is related to a change in volume of a fluid. 100 points

Answers

Answer: work is the pressure acting through the change in volume

Explanation:

In the same way that work is defined as force operating over a distance,  work is the pressure acting through the change in volume.   Pressure is comparable to force in pressure–volume work, while volume is analogous to distance in the classic definition of work.

Just as we say that work force acting over a distance,for fluids,we can say that work is the pressure acting through the change in volume. for pressure- volume work, pressure is analogous to force, and the traditional defination of work.

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Answer: A Because that is local I mean it is confined to a city at least i think so

Answer:

Option 3

Explanation:

All of the mentioned options are mitigation solutions. But, the question has clearly asked for local solutions, which means it has the possibility or feasibility to take place in every neighborhood no matter where you are.

The option which correctly gives this is :

An individual elects to walk or bike to work daily
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