A ship travels 3.20 hours with a velocity of 21.1 mph at theta= 123º, including the effects of the
current. The pilot then turns to a heading of 190.0° with a speed of 18.2 mph, including the effects of
the current. If the pilot stays on this heading for 1.10 hours, what is the ship's final displacement from
its original starting point?
Answers
The vector addition and kinematics of uniform motion allows to find the result for where the starting point is:
The ship left a point at a distance of 77,565 miles in a direction of 136.7º from the x-axis.
Given parameters
First speed v₁ = 21.3 pH Angle θ₁ = 123º Time t₁ = 3.20 h Second speed v₂ = 18.2 mph Angle θ₂ = 190.0º Time t₂ = 1.10 hTo find
Distance start point.
Velocity is a vector magnitude, therefore it has direction and module, to make the addition of these magnitudes vector algebra must be used.
There are two methods for adding vectors:
Graphic. In this case, a vector is placed at the tip of the other and the resulting vector goes from the origin of the first to the tip of the last. Analytical. In this case, the vector is decomposed into a coordinate system, the resultants are found and the vector is composed.
In the attached we can see a diagram of the displacement of this ship. We use a Cartesian reference system and using trigonometric to decompose the velocities.
First speed
cos 123 = [tex]\frac{v_1_x}{v_1}[/tex]
sin 123 = [tex]\frac{v_1_y}{v_1}[/tex]
v₁ₓ = v₁ cos 123
[tex]v_{1y}[/tex] = v₁ sin 123
v₁ₓ = 21.1 cos 123 = -11.49 mph
[tex]v_{1y}[/tex] = 21.1 sin123 = 17.70 mph
Second speed
v₂ₓ = v₂ cos 190
[tex]v_{ 2y}[/tex] = v₂ sin190
v₂ₓ = 18.2 cos 190 = -17.92 mph
[tex]v_{2y}[/tex] = 18.2 sin190 = -3.16 mph
Now we can use kinematics of uniform motion.
v = [tex]\frac{d}{t}[/tex]
d = v t
Where v is the velocity, d the distance and t the time
Let's find every distance traveled.
For first speed
x-axis
x₁ = v₁ₓ t₁
x₁ = -11.49 3.20
x₁ = - 36,768 miles
y-axis
y₁ = [tex]v_{1y} \ t_1[/tex]
y₁ = 17.70 3.20
y₁ = 56.64 miles
Travel for 2nd speed
x₂ = v₂ₓ t₂
x₂ = -17.92 1.10
x₂ = -19,712 miles
y₂ = -3.16 1.10
y₂ = - 3,476 miles
Let's find the distance traveled on each axis
x-axis
[tex]x_{total}[/tex] = x₁ + x₂
[tex]x_{total}[/tex] = -36,768 - 19,712
[tex]x_{total}[/tex] = -56.48 miles
y-axis
[tex]y_{total}[/tex] = y₁ + y₂
[tex]y_{total}[/tex] = 56.64 - 3.476
[tex]y_{total}[/tex] = 53,164 miles
Let's construct the total displacement vector, for the module let's use the Pythagorean theorem
[tex]d_{total} = \sqrt{x^2 +y^2} \\d_{total} = \sqrt{56.48^2 +53.164^2}[/tex]
[tex]d_{total}[/tex] = 77,565 miles
Let's used trigonometry for the direction
[tex]tan \theta ' = \frac{y_{total} }{ x_{total} } \\\theta ' = tan^{-1} \frac{y_{total} }{ x_{total} }[/tex]
θ’= 43.3º
This angle is in the second quadrant to indicate the angle with respect to the positive side of the x-axis in a counterclockwise direction.
θ = 180 - θ'
θ = 180 - 43.3
θ = 136.7º
In conclusion using the addition vectors and kinematics of uniform motion we can find the result for where the starting point is:
The ship left a point at a distance of 77,565 miles in a direction of 136.7º from the x-axis.
Learn more here: brainly.com/question/15074838
Related Questions
A box collides with a ball as shown in the diagram below. After the collision, what
will the final momentum of the ball be?
BEFORE COLLISION
AFTER COLLISION
15 kgm/s
3 kgm/s
5 kgm/s
_kgm/s
O 18 kg * m/s
O 5 kg * m/s
O 10 kg * m/s
O 13 kg * m/s
Answers
The final momentum of the ball after collision is 13 kg.m/s.
The given parameters;
initial momentum of the box, P₁ = 15 kg.m/sinitial momentum of the ball, P₂ = 3 kg.m/sfinal momentum of the ball, P₃ = 5 kg.m/sLet the final momentum of the ball after collision = P₄
Apply the principle of conservation of linear momentum to determine the final momentum of the ball after collision;
total momentum before collision = total momentum after collision
P₁ + P₂ = P₃ + P₄
15 + 3 = 5 + P₄
18 = 5 + P₄
18 - 5 = P₄
13 = P₄
Thus, the final momentum of the ball after collision is 13 kg.m/s.
Learn more here:https://brainly.com/question/24424291
You are at a rest stop 250 miles north of New York City. You then travel north at a constant velocity of 65 miles per hour for 2.0 hours. Describe your location relative to New York City.
Answers
65 * 2
130 miles
Since you are already 250 miles from NYC, just add the added distance.
130 + 250 = 380
You are 380 miles north of NYC.
NEED HELP!!!! 10 POINTS!!
Paralysis is often the result of severe spinal injuries. Why is this often the case?
A.
All movement begins in the spine and radiates through the body.
B.
The spine in the only part of the body that is directly connected to the brain.
C.
The spine houses much of the central nervous system, which controls movement.
D.
The bones in the spine cannot regenerate and grow, unlike other bones in the body.
PLEASSE NO LINKS
Answers
Due to paralysis, the result is severe spinal injuries. This is often the case because the spine houses much of the central nervous system, which controls movement. Hence, option C is correct.
What is Paralysis?You might become paralyzed, and unable to move on your own when something interferes with the nerve impulses that muscles receive from the brain. Strokes, spinal cord injuries, and neurological diseases like multiple sclerosis are among the common causes of paralysis.
When you are unable to move your muscles voluntarily, you are said to be paralyzed. Paralysis results from nerve system issues.
Muscles receive messages from healthy nerves. This causes the muscles to contract. When you’re paralyzed, or have paralysis, you can’t move certain parts of your body.
Hence, it concludes that option C is correct.
To get more information about Paralysis :
https://brainly.com/question/7249786
#SPJ5
two children, A and B, fire identical 10.0g all bearings from a catapult. the elastic band of each catapult extended by 0.10m and then released to fire the ball bearings. Child A's elastic band has a spring constant of 144N/m. calculate the energy transferred to the kinetic energy store of the child A's ball bearing.
thanks soo much (:
WORTH 50 PTS
Answers
The energy transferred to the kinetic energy store of the child A's ball bearing is 0.72 J.
Energy transferred to the kinetic energy
The energy transferred to the kinetic energy store of the child A's ball bearing is determined from the principle of conservation of energy as shown below;
K.E = Ux = ¹/₂kx²
K.E = ¹/₂ x 144 x 0.1²
K.E = 0.72 J
Thus, the energy transferred to the kinetic energy store of the child A's ball bearing is 0.72 J.
Learn more about kinetic energy here: https://brainly.com/question/25959744
#SPJ1
A diver runs toward the edge of the cliff in Tobermory. This cliff is 44 m high (top of cliff to water level). They dive out, horizontally, at a velocity of 1.8 m/s [forward]. The sign below was posted for a reason. There is a section of rock right under the rough water extending from the cliff out for 4 m, as shown below. Does the diver hit the hidden rocks?
Answers
This question involves the concepts of the equations of motion for both the vertical motion and the horizontal motion.
The diver "does not" hit the rock.
First, we will calculate the time taken by the diver to land. For this purpose, we will use the second equation of motion for the vertical motion of the diver:
[tex]h = v_{iy}t+\frac{1}{2}gt^2[/tex]
where,
h = height of cliff = 44 m
[tex]v_{iy}[/tex] = vertical component of the initial velocity of the diver = 0 m/s
t = time taken to land = ?
g = acceleration due to gravity = 9.81 m/s²
Therefore,
[tex]44\ m=(0\ m/s)t+\frac{1}{2}(9.81\ m/s^2)(t)^2\\\\t = \sqrt{\frac{(44\ m)(2)}{9.81\ m/s^2}}[/tex]
t = 3 s
Now, we will calculate the horizontal distance where the diver landed. For this purpose, we will use the equation of motion for the horizontal motion of the diver. Assuming the air resistance to be zero the horizontal motion will be uniform. Hence:
[tex]s = vt\\s = (1.8\ m/s)(3\ s)\\[/tex]
s = 5.4 m
Since the section of the rock was 4 m away from the cliff. Hence, the diver crossed that rock section and safely laded at a distance of 5.4 m, which is 1.4 m ahead of the rock section.
Learn more about equations of motion here:
brainly.com/question/20594939?referrer=searchResults
The attached picture shows the equations of motion for the horizontal motion and vertical motion.
If there was no friction, a ball rolling on a perfectly horizontal floor would never stop unless it struck something. It would keep on going and going and going even though gravity is still acting on it. Why won’t gravity stop the rolling ball?
Answers
Answer:
Gravity, won't stop rolling the ball because of the mass and gravitational pull and I learned this from my big sister
Explanation:
How many miles are present in 620 g of mercury
Answers
Answer:
620 grams Mercury (1 mole Hg/200.6 grams) = 3.09 moles Hg
Explanation:
Have an awesome day ;)
Not all the thermal energy from the hot object transferred to the cold water. Suggest ways that you could have improved your experimental design to increase the transfer of thermal energy from the hot object to the cold water.
Answers
Answer:foucovfirfvuhivufhijifs
What does Newton's law all about?
Answers
Based on the table, what is the advantage for using 16-inch spacing compared to 24-
inch spacing?
A. At a given load, the 16-inch spacing can support a smaller span
B. At a given load, the 16-inch spacing can support a larger span
C. At a given load, the 16-inch spacing requires less construction time
D. At a given load, the 16-inch spacing requires less construction costs
Answers
The advantage for using 16-inch spacing is that ; ( B ) At a given load, the 16-inch spacing can support a larger span
The spacing along a span in construction engineering is determined by the amount and mass of load the span will either carry or support during and after construction.
A smaller span spacing can support a given load more efficiently than a larger span spacing because when the spacing is smaller it can support a larger span better than a larger span spacing.
Hence we can conclude that the advantage for using 16-inch spacing is that At a given load, the 16-inch spacing can support a larger span.
learn more : https://brainly.com/question/22020642
PLZ! PLZ! PLZ! HELP! WILL GIVE BRAINLIEST! Scientific Claim Engaging in scientific argument is a critical piece to the application of science and engineering and is necessary to solve a societal problem. Scientific argument is based on evidence and reasoning that leads to explanations. A scientific argument consists of three key pieces: Claim: a conclusion about a problem Evidence: scientific data that is appropriate and sufficient to support the claim. • Reasoning: a justification that shows why the data or information counts as evidence to support the claim and includes appropriate scientific principles 1. What is the claim made by the Big Bang theory regarding the creation of the universe? 2. What are three crucial pieces of evidence that support the claim for the Big Bang theory. Include a piece of evidence that relates each of the following: a. Light spectra b. Motion of distant galaxies c. Composition of matter in the universe 3. Explain how or why each piece of evidence supports the claim made in Big Bang theory.
Answers
Answer:
Explanation:
1The study of science and engineering should produce a sense of the process of argument necessary for advancing and defending a new idea or an explanation of a phenomenon and the norms for conducting such arguments. In that spirit, students should argue for the explanations they construct, defend their interpretations of the associated data, and advocate for the designs they propose. (NRC Framework, 2012, p. 73)
Argumentation is a process for reaching agreements about explanations and design solutions. In science, reasoning and argument based on evidence are essential in identifying the best explanation for a natural phenomenon. In engineering, reasoning and argument are needed to identify the best solution to a design problem. Student engagement in scientific argumentation is critical if students are to understand the culture in which scientists live, and how to apply science and engineering for the benefit of society. As such, argument is a process based on evidence and reasoning that leads to explanations acceptable by the scientific community and design solutions acceptable by the engineering community.
Argument in science goes beyond reaching agreements in explanations and design solutions. Whether investigating a phenomenon, testing a design, or constructing a model to provide a mechanism for an explanation, students are expected to use argumentation to listen to, compare, and evaluate competing ideas and methods based on their merits. Scientists and engineers engage in argumentation when investigating a phenomenon, testing a design solution, resolving questions about measurements, building data models, and using evidence to evaluate claims.
Compare and critique two arguments on the same topic and analyze whether they emphasize similar or different evidence and/or interpretations of facts.
Respectfully provide and receive critiques about one’s explanations, procedures, models and questions by citing relevant evidence and posing and responding to questions that elicit pertinent elaboration and detail.
Construct, use, and/or present an oral and written argument supported by empirical evidence and scientific reasoning to support or refute an explanation or a model for a phenomenon or a solution to a problem.
Make an oral or written argument that supports or refutes the advertised performance of a device, process, or system, based on empirical evidence concerning whether or not the technology meets relevant criteria and constraints.
Evaluate competing design solutions based on jointly developed and agreed-upon design criteria.
Ayuda porfavor :( doy corona
Answers
Answer:(:
Explanation:
1. 19685
2. 26400
3. 47244.1
4. 15.53428
5. 2.1336
6. 3.61111
7. 42240
8. 560
9. 24.384
10. 54
PLEASE HELP ME WITH EDGE UNIT TEST!!!! EARTH AND SPACE SCIENCE!!!!!
At which location would an object’s weight be the greatest?
on Pluto
on Earth
on the Sun
on the moon
Answers
Answer:
on Pluto or earth go witH u guts mine is always right hope this helps
Give a short introduction to alternative energy
Answers
Answer:
Alternative energy is energy sources other than fossil fuels, including renewable sources and nuclear energy. However, nuclear energy is not classified as a renewable energy source, because it is mined from uranium and thorium elements, which cannot be replenished. Hoped this helped!!!
Identify the topic sentence in the given paragraph.
Humans need sleep to help their bralns function properly. The brain needs a minimum number of hours to rest and organize itself. The number of hours depends on age. For example, babies need an average of 14 to 16 hours of rest daily, while adults can function on about 6 to 8 hours. Scientists are not completely sure what the brain does during sleep periods, but they do know that the brain sorts and stores information and replaces chemicals when a person sleeps.
Please help
No links
Answers
Humans need sleep to help their brains function properly. The topic sentence in the given paragraph is "Humans need sleep to help their brains function properly." This sentence introduces the main idea of the paragraph, which is the importance of sleep for brain functioning.
1. The paragraph begins by stating that humans need sleep to help their brains function properly.
2. It further explains that the brain requires a minimum number of hours to rest and organize itself.
3. The number of hours needed for sleep depends on age, with babies needing an average of 14 to 16 hours of rest daily.
4. In contrast, adults can function on about 6 to 8 hours of sleep.
5. The paragraph mentions that scientists are not completely sure about the specific activities of the brain during sleep periods.
6. However, they do know that the brain sorts and stores information and replaces chemicals when a person sleeps.
Overall, the paragraph discusses the significance of sleep for brain function and highlights that sleep plays a role in information processing and chemical restoration in the brain. The topic sentence sets the stage by emphasizing the importance of sleep for humans' brain functioning, and the subsequent sentences provide additional details and explanations related to the topic.
For more such questions on brains, click on:
https://brainly.com/question/30473192
#SPJ8
what makes it difficult to see Mercury
Answers
Answer:
Mercury is the planet nearest the Sun and is the most difficult to observe, because it is always quite close to the Sun in the sky. Because of its orbital motion, it appears to swing back and forth around the Sun, reaching a maximum angular distance of about 28°.
Explanation:
I hope that helps you
Answer:
Mercury is very close to the Sun which means its hard to see the planet without the Sun's brightness outshining it. It is also the smallest planet in the solar system.
Hope this helps!
A spanner is used to undo a nut. The spanner has already turned 30° from the horizontal. A vertical force of 50 N is applied 0.3 m from the centre of the nut. Calculate the turning effect of the force, please show the calculation thank you :)
Answers
Answer:
19.4Nm..............
at a certain distance from a point charge the electric potential is 200V and electric field is 200V/m, what is this distance
a. 10m
b. 8m
c. 0.1m
d. 0.8m
Answers
Explanation:
0.1 m
i dont know how to explain but i know the ans so ............byee ...
a body has a weight of 2.8 Newtons what is the Mass of the body in grams
Answers
Answer:
285.7 g
Explanation:
Weight = mass x gravity
mass has units of kilograms
gravity is 9.8 m/s²
newton units are kg m / s²
So:
2.8 kg m/s² = mass x 9.8 m/s²
Divide both sides by 9.8
2.8 kg m/s²
---------------- = mass in kg = 0.2857kg
9.8 m/s²
Convert kilograms to grams by multiplying by 1000
0.2857kg 1000 g
-------------- X --------------- = 285.7g
1 1 kg
A ball is accelerating down a hill. Which statement is true?
the potential energy and the kinetic energy both decrease
the potential energy and the kinetic energy both increase
the potential energy decreases and the kinetic energy increases
the potential energy increases and the kinetic energy decreases
Answers
Answer:
The potential energy increases and the kinetic energy decreases
Which situation would create a field like the one shown here?
Answers
How many electrons have been removed from a positively charged electroscope if it has a net charge of 1.6× 10−13 C?
Answers
Answer:
Tu mujhe banaye ga face dekh aapna mirror me
Answer:
iloveyouuuuuuuuuuuuuuu
A fisherman notices that wave crests pass the bow of his anchored boat every 3.0 s. He measures the distance between two crests to be 7.0 m. How fast are the waves traveling?
Answers
Answer:
The time period is
T
=
3.0
s
.
The distance between two crests is
λ
=
8.0
m
.
The frequency of wave can be calculated as,
f
=
1
T
f
=
1
3.0
s
f
=
1
3
s
−
1
The speed of wave can be calculated as,
v
=
f
λ
v
=
(
1
3
s
−
1
)
(
8
m
)
v
=
2.67
m
/
s
The slower the particles in a substance move,
Select one:
A.
the colder it is.
B.
the more energy it has.
C.
All answers are correct
D.
the warmer it is.
Answers
Answer:
ohohoh
Explanation:
c
The acceleration of free fall on Mars is 3.7 m/s?.
What is the weight of a 100g mass on Mars?
A 0.037N
B
0.37 N
C 37 N
D
370N
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Given :
Acceleration (a) = 3.7 m/s²mass (m) = 100g = 0.1 kgweight is equal to :
[tex]m \times a[/tex][tex]3.7 \times .01[/tex][tex]0.37 \: \: \: N[/tex]Weight of the object is 0.37 Newtons ~
Correct choice is B
2. Connect concepts on the left with a description on the right.
Concave lens A. Distance between two waves. Magnifier B. Can be captured on screen.Focal length. C. Light of a wavelength. Wavelength D. Scattered incident light. Infrared radiation E. Convex lenses. Real picture F. Distance to the focal point. Laser G. Light swinging in one direction. Polarized light. H. Heat radiation
3. Explain in as much detail as you can how a rainbow arises. a
Answers
plzzz explain me your questions
Vector A has a magnitude of 8.0 m and points 30 degrees north of east; vector B has a magnitude of 6.0 m and points 30 degrees west of north; and vector C has a magnitude of 5.0 m and points 30 degrees west of south. The resultant vector A + B + C is given by:
A) 2.1 m at an angle 66 degrees east of north.
B) 5.9 m at an angle 74 degrees north of east.
C) 2.7 m at an angle 74 degrees north of east.
D) 5.1 m at an angle 74 degrees north of east.
E) 4.8 m at an angle 74 degrees east of north.
Answers
The resultant vector A + B + C is approximately 5.1 m at an angle 74 degrees north of east.
To find the resultant vector A + B + C, we need to break down each vector into its horizontal (x) and vertical (y) components, and then add them together.
Given:
Vector A: magnitude = 8.0 m, angle = 30 degrees north of east
Vector B: magnitude = 6.0 m, angle = 30 degrees west of north
Vector C: magnitude = 5.0 m, angle = 30 degrees west of south
Let's calculate the x and y components for each vector:
For Vector A:
A_x = 8.0 m × cos(30°)
A_x = 8.0 m × 0.866
A_x ≈ 6.928 m
A_y = 8.0 m × sin(30°)
A_y = 8.0 m ×0.5
A_y = 4.0 m
For Vector B:
B_x = 6.0 m × sin(30°)
B_x = 6.0 m × 0.5
B_x = 3.0 m
B_y = 6.0 m × cos(30°)
B_y = 6.0 m × 0.866
B_y ≈ 5.196 m
For Vector C:
C_x = 5.0 m × sin(30°)
C_x = 5.0 m ×0.5
C_x = 2.5 m
C_y = 5.0 m × cos(30°)
C_y = 5.0 m × 0.866
C_y ≈ 4.33 m
Now, let's add up the x and y components:
Resultant x component = A_x + B_x + C_x
Resultant x component = 6.928 m + 3.0 m + 2.5 m
Resultant x component ≈ 12.428 m
Resultant y component = A_y + B_y + C_y
Resultant y component = 4.0 m + 5.196 m + 4.33 m
Resultant y component ≈ 13.526 m
Finally, we can find the magnitude and angle of the resultant vector:
Resultant magnitude = sqrt((Resultant x component)² + (Resultant y component)²)
Resultant magnitude = sqrt((12.428 m)^2 + (13.526 m)^2)
Resultant magnitude ≈ 18.015 m
Resultant angle = arctan(Resultant y component / Resultant x component)
Resultant angle = arctan(13.526 m / 12.428 m)
Resultant angle ≈ 48.413°
Considering the answer choices provided:
A) 2.1 m at an angle 66 degrees east of north.
B) 5.9 m at an angle 74 degrees north of east.
C) 2.7 m at an angle 74 degrees north of east.
D) 5.1 m at an angle 74 degrees north of east.
E) 4.8 m at an angle 74 degrees east of north.
The closest match to our calculated result is:
D) 5.1 m at an angle 74 degrees north of east.
Therefore, the resultant vector A + B + C is approximately 5.1 m at an angle 74 degrees north of east.
To know more about resultant vector
https://brainly.com/question/28188107
#SPJ2
a car travels at a uniform speed of 30 km per hour for 30 mins and then at a uniform speed of 60 km per hour for the next 30 minutes calculate the average speed of a car
Answers
NEED HELP!!!! 15 POINTS!!!!
Which BEST explains why it is important to warm up before strenuous exercise?
A.
It is very hard on the joints when exercise begins without warm up.
B.
It strains the muscles if blood and oxygen levels are not already activated.
C.
Warm-ups limit the oxygen supply, prepping the body for the rush during exercise.
D.
An exercise session should not include more than 30 minutes of aerobic activity.
Answers
Answer:
A
Explanation:
or else u would get a muscle pull
Answer:
a
Explanation:
A force applied to an object at rest causes the object to move. According to Newton’s first law, what must be true of the force?
Answers
Answer:
An object will not move unless acted upon by an unbalanced force.
Explanation:
Since Newton's first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
Hope this helps!!
According to Newton's law of motion an object will at a state unless and until a force act upon it. Hence, force is an external agent which change the state of an object.
What is Newton's law of motion?Newton proposed three laws of motion explaining the motion an object. The first law states that an object will continue at the state of motion or rest unless a force acting on it.
Therefore force is an external agent which acts on a body to change it from the state of rest or motion. Force is directly proportional to the mass of the body. Hence, greater the mass, greater force must be applied to change its state.
The first of motion is called law of inertia, where inertia is the tendency of a body to stay in a state. Therefore, force changes this tendency of an object.
To find more on force, refer here:
https://brainly.com/question/13191643
#SPJ3