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Kinematics in Two Dimensions

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11th grade Physics Quiz on Kinematics in Two Dimensions, created by bella joy on 22/10/2017.
bella joy
Quiz by bella joy, updated more than 1 year ago
bella joy
Created by bella joy over 6 years ago
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Resource summary

Question 1

Question
A ball is rolling down one hill and up another. Points A and B are at the same height. How do the velocity and acceleration change as the ball rolls from point A to point B?
Answer
  • The velocity and acceleration are the same at both points.
  • The velocity and the magnitude of the acceleration are the same at both points, but the direction of the acceleration is opposite at B to the direction it had at A.
  • The acceleration and the magnitude of the velocity is the same at both points, but the direction of the velocity is opposite at B to the direction it had at A.
  • The horizontal component of the velocity is the same at points A and B, but the vertical component of the velocity has the same magnitude, but the opposite sign at B. The acceleration at points A and B are the same.
  • The vertical component of the velocity is the same at points A and B, but the horizontal component of the velocity has the same magnitude, but the opposite sign at B. The acceleration at points A and B has the same magnitude, but opposite direction.

Question 2

Question
In two-dimensional motion in the x-y plane, assuming any constant acceleration, what is the relationship between the x part of the motion to the y part of the motion?
Answer
  • The x part of the motion is independent of the y part of the motion.
  • The y part of the motion goes as the square of the x part of the motion.
  • The x part of the motion is linearly dependent on the y part of the motion.
  • The x part of the motion goes as the square of the y part of the motion.
  • If the y part of the motion is in the vertical direction, then x part of the motion is dependent on the y part.

Question 3

Question
A bicyclist is riding at a constant speed along a horizontal, straight-line path. The rider throws a ball straight up to a height a few meters above her head. Ignoring air resistance, where will the ball land? Ignore any effects of air resistance.
Answer
  • in front of the rider
  • behind the rider
  • in the same hand that threw the ball
  • in the opposite hand to the one that threw it
  • This cannot be determined without knowing the speed of the rider and the maximum height of the ball.

Question 4

Question
Balls A, B, and C are identical. From the top of a tall building, ball A is launched with a velocity of 20 m/s at an angle of 45° above the horizontal direction, ball B is launched with a velocity of 20 m/s in the horizontal direction, and ball C is lunched with a velocity of 20 m/s at an angle of 45° below the horizontal direction. Which of the following choices correctly relates the magnitudes of the velocities of the balls just before they hit the ground below? Ignore any effects of air resistance.
Answer
  • Va = Vc > Vb
  • Va = Vc= Vb
  • Va > Vc > Vb
  • Va < Vc < Vb
  • Va > Vc < Vb

Question 5

Question
A toy rocket is launched at an angle of 45° with a speed Vo. If there is no air resistance, at what points during the time that it is in the air does the speed of the rocket equal 0.5Vo?
Answer
  • when the rocket is at one half of its maximum height as it is going upward
  • when the rocket is at one half of its maximum height as it is going downward
  • when the rocket is at its maximum height
  • when the rocket is at one fourth of its maximum height as it is going downward
  • at no time during the flight

Question 6

Question
An airplane is flying horizontally at a constant velocity when a package is dropped from its cargo bay. Assuming no air resistance, which one of the following statements is correct?
Answer
  • The package follows a curved path that lags behind the airplane.
  • The package follows a straight line path that lags behind the airplane.
  • The package follows a straight line path, but it is always vertically below the airplane.
  • The package follows a curved path, but it is always vertically below the airplane.
  • The package follows a curved path, but its horizontal position varies depending on the velocity of the airplane.

Question 7

Question
Packages A and B are dropped from the same height simultaneously. Package A is dropped from an airplane that is flying due east at a constant speed. Package B is dropped from rest from a helicopter hovering in a stationary position above the ground. Ignoring air friction effects, which of the following statements is true?
Answer
  • A and B reach the ground at the same time, but B has a greater velocity in the vertical direction.
  • A and B reach the ground at the same time; and they have the same velocity in the vertical direction.
  • A and B reach the ground at different times because B has a greater velocity in both the horizontal and vertical direction.
  • A reaches the ground first because it falls straight down.

Question 8

Question
At a circus, two clowns, Bippy and Bobo, climb into identical cannons and are launched at identical initial velocities from the same starting height at the same instant of time. Nippy's cannon makes an angle of 55° with respect to the ground and Bobo's cannon makes an angle of 45° with respect to the ground. Both clowns land in a net parallel to the ground at height h. Which clown first, if either? Neglect air resistance.
Answer
  • Bippy
  • Bobo
  • They land at the same time.
  • This question cannot be answered without knowing the mass of each clown.

Question 9

Question
At a circus, two clowns, Bippy and Bobo, climb into identical cannons and are launched at identical initial velocities from the same starting height at the same instant of time. Each clown lands in a net parallel to the ground at height h, but Bobo lands further away from his cannon than Bippy does from hers. Which clown, if either, lands with greater instantaneous velocity? Neglect any effects due to air resistance.
Answer
  • Bippy
  • Bobo
  • They land with the same instantaneous velocity.
  • This question cannot be answered without knowing the mass of each clown.

Question 10

Question
Which one of the following statements concerning the displacement of an object is false?
Answer
  • Displacement is a vector quantity that points from the initial position of an object to its final position.
  • The magnitude of an object's displacement is always equal to the distance it traveled from its initial position its final position.
  • The magnitude of an object's displacement is the shortest distance from its initial position to its final position.
  • The direction of an object's displacement is indicated by an arrow that begins on the initial position of the object and ends on its final position.
  • The length of the arrow representing an object's displacement is proportional to its magnitude.

Question 11

Question
A park ranger, lying on the ground, wanted to measure the height of a tall tree. The ranger was 6.10 m from the base of the tree; and he observed that his line of sight made an angle of 73.5° above the horizontal as he looked at the top of the tree. What is the height of the tree?
Answer
  • 5.84 m
  • 8.77 m
  • 11.7 m
  • 17.3 m
  • 20.6 m

Question 12

Question
A delivery truck leaves a warehouse and travels 3.20 km east. The truck makes a right turn and travels 2.45 km south to arrive at its destination. What is the magnitude and direction of the truck's displacement from the warehouse?
Answer
  • 4.03 km, 37.4° south of east
  • 2.30 km, 52.5° south of east
  • 0.75 km, 37.8° south of east
  • 2.40 km, 45.0° south of east
  • 5.65 km, 52.5° south of east

Question 13

Question
A truck drives due south for 1.8 km in 2.0 minutes. Then, the truck turns and drives due west for 1.8 km in 2.0 minutes. Which one of the following pairs of statements is correct?
Answer
  • The average speed for the two segments is the same. The average velocity for the two segments is the same.
  • The average speed for the two segments is not the same. The average velocity for the two segments is the same.
  • The average speed for the two segments is the same. The average velocity for the two segments is not the same.
  • The average speed for the two segments is the not the same. The average velocity for the two segments is not the same.

Question 14

Question
In two-dimensional motion in the x-y plane, what is the relationship between the x part of the motion to the y part of the motion?
Answer
  • The x part of the motion is independent of the y part of the motion.
  • The y part of the motion goes as the square of the x part of the motion.
  • The x part of the motion is linearly dependent on the y part of the motion.
  • If the y part of the motion is in the vertical direction, then x part of the motion is dependent on the y part.

Question 15

Question
A football is kicked at an angle 25° with respect to the horizontal. Which one of the following statements best describes the acceleration of the football during this event if air resistance is neglected?
Answer
  • The acceleration is zero m/s2 at all times.
  • The acceleration is zero m/s2 when the football has reached the highest point in is trajectory
  • The acceleration is positive as the football rises, and it is negative as the football falls.
  • The acceleration starts at 9.8 m/s2 and drops to some constant lower value as the ball approaches the ground.
  • The acceleration is 9.8 m/s2 at all times.

Question 16

Question
A baseball is hit upward at an angle to the horizontal and travels along a parabolic arc before it strikes the ground. Which one of the following statements is necessarily true?
Answer
  • The velocity of the ball is a maximum when the ball is at the highest point in the arc.
  • The x-component of the velocity of the ball is the same throughout the ball’s flight.
  • The acceleration of the ball decreases as the ball moves upward.
  • The velocity of the ball is zero m/s when the ball is at the highest point in the arc.
  • The acceleration of the ball is zero m/s2 when the ball is at the highest point in the arc.

Question 17

Question
Two cannons are mounted on a high cliff. Cannon A fires balls with twice the initial velocity of cannon B. Both cannons are aimed horizontally and fired. How does the horizontal range of cannon A compare to that of cannon B?
Answer
  • The range for both balls will be the same.
  • The range of the cannon ball B is about 0.7 times that of cannon ball A.
  • The range of cannon ball B is about 1.4 times that of cannon ball A.
  • The range of cannon ball B is about twice that of cannon ball A.
  • The range of the cannon ball B is about one-half that of cannon ball A.

Question 18

Question
5. An airplane is flying horizontally at a constant velocity when a package is dropped from its cargo bay. Assuming no air resistance, which one of the following statements is correct?
Answer
  • The package follows a curved path that lags behind the airplane.
  • The package follows a straight line path that lags behind the airplane.
  • The package follows a straight line path, but it is always vertically below the airplane.
  • The package follows a curved path, but it is always vertically below the airplane.
  • The package follows a curved path, but its horizontal position varies depending on the velocity of the airplane.

Question 19

Question
What remains constant throughout free-fall? Select all that apply.
Answer
  • The acceleration in the horizontal direction remains constant throughout free-fall.
  • The acceleration in the vertical direction remains constant throughout free-fall.
  • The velocity in the vertical direction remains constant throughout free-fall.
  • The velocity in horizontal direction remains constant throughout free-fall.

Question 20

Question
A basketball is launched with an initial speed of 8.5 m/s and follows the trajectory shown. The ball enters the basket 0.92 seconds after it is launched. What are the distances x and y. Note: The drawing is not to scale.
Image:
Screen Shot 2017 10 23 At 6.00.20 Pm (binary/octet-stream)
Answer
  • x = 6.0 m, y = 0.88 m
  • x = 5.0 m, y = 0.73 m
  • x = 5.0 m, y = 0.91 m
  • x = 5.0 m, y = 1.1 m
  • x = 6.0 m, y = 1.96 m

Question 21

Question
A bullet is aimed at a target on the wall a distance L away from the firing position. Because of gravity, the bullet strikes the wall a distance delta y below the mark as suggested in the figure. Note: The drawing is not to scale. If the distance L was half as large, and the bullet had the same initial velocity, how would delta y be affected?
Answer
  • Delta y will double.
  • Delta y will be half as large.
  • Delta y will be one fourth as large.
  • Delta y will be four times larger.
  • It is not possible to determine unless numerical values are given.
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