Question 1

A rock is thrown from ground level at some angle above the horizontal with a certain velocity. It reaches its highest point and starts falling down. What is the magnitude of the velocity of the rock right before it hits the ground?

Accepted Answer

A)  It is equal to its initial vertical velocity. 
B)  It is equal to its initial horizontal velocity. 
C)  It is equal to the magnitude of its initial velocity. 
D)  0 
E)  Cannot be determined without additional information.

Question 2

A ball is thrown horizontally with an initial velocity of 20.0 m/s from the edge of a building of a certain height. The ball lands at a horizontal distance of 82.0 m from the base of the building. What is the height of the building?

Accepted Answer

A)  40.5 m 
B)  60.2 m 
C)  87.9 m 
D)  82.4 m 
E)  50.4 m

Question 3

A hockey puck slides off the edge of a table with an initial velocity of 20.0 m/s. The height of the table above the ground is 2.00 m. How far from the edge of the table, measured along the floor, does the puck hit the floor?

Accepted Answer

A)  20.0 m 
B)  40.0 m 
C)  12.8 m 
D)  19.6 m 
E)  6.4 m

Question 4

A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal. The ball leaves her hand 1.00 m above the ground. At what angle below the horizontal does the ball approach the ground?

Accepted Answer

A)  35.1° 
B)  38.6° 
C)  48.0° 
D)  40.0° 
E)  65.2°

Question 5

A bullet is fired from ground level with a speed of 150 m/s at an angle 30.0° above the horizontal at a location where g = 10.0 m/s2. What is the horizontal component of its velocity after 4 seconds?

Accepted Answer

A)  150 m/s 
B)  35 m/s 
C)  130 m/s 
D)  75.0 m/s 
E)  37.5 m/s

Question 6

A ball is thrown at an angle θ above the horizontal. In the presence of the acceleration due to gravity, how far below the straight-line path following its original direction of motion will the ball be at the end of 1.0 second?

Accepted Answer

A)  20 m 
B)  4.9 m 
C)  9.8 m 
D)  2.5 m 
E)  None of the other choices is correct.

Question 7

If the acceleration vector of an object is directed parallel to the velocity vector,

Accepted Answer

A)  the object is turning. 
B)  the object is speeding up. 
C)  the object is slowing down. 
D)  the object is not moving. 
E)  this situation would not be physically possible.

Question 8

A ball is thrown horizontally with an initial velocity of 40 m/s from a height of 10 m. How long will it take for the ball to touch the ground? Use g = 10 m/s2.

Accepted Answer

A)  0.70 second 
B)  1.0 second 
C)  2.0 seconds 
D)  1.4 seconds 
E)  2.4 seconds

Question 9

A pilot drops a bomb from a plane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plane will

Accepted Answer

A)  be behind the bomb. 
B)  be over the bomb. 
C)  be in front of the bomb. 
D)  depend of the speed of the plane when the bomb was released. 
E)  depend of the mass of the bomb when it was released.

Question 10

A student kicks a soccer ball in a high arc toward the opponent's goal. At the highest point in its trajectory:

Accepted Answer

A)  both velocity and acceleration of the soccer ball are zero. 
B)  neither the ball's velocity nor its acceleration is zero. 
C)  the ball's acceleration is zero but not its velocity. 
D)  the ball's acceleration points upwards. 
E)  the ball's velocity points downwards.

Question 11

A rock is thrown at some angle above the horizontal with a certain velocity. It reaches its highest point and starts falling down. What is the velocity of the rock at the highest point of its trajectory?

Accepted Answer

A)  0 
B)  9.8 m/s 
C)  It is equal to its initial horizontal velocity. 
D)  It is equal to its initial vertical velocity. 
E)  It is equal to its initial velocity.

Question 12

A hockey puck slides off the edge of a table with an initial velocity of 28.0 m/s. The height of the table above the ground is 2.00 m. What is the angle below the horizontal of the velocity of the puck just before it hits the ground?

Accepted Answer

A)  77.2° 
B)  72.6° 
C)  12.8° 
D)  12.6° 
E)  31.8°

Question 13

An athlete throws a ball with a velocity of 40 m/s at an angle of 20° above the horizontal. Which of the following statements is true in this case?

Accepted Answer

A)  The vertical component of the velocity remains constant. 
B)  The horizontal component of the velocity changes. 
C)  The vertical component of the velocity changes sign after the ball attains its maximum height. 
D)  The horizontal component of the velocity changes sign after the ball attains its maximum height. 
E)  None of the given choices is correct.

Question 14

A ball is thrown at an angle 45.0° above the horizontal from ground level with an initial velocity of 20.0 m/s. What is the range of the ball?

Accepted Answer

A)  20.0 m 
B)  40.8 m 
C)  19.6 m 
D)  34.4 m 
E)  None of the other choices is correct.

Question 15

A boy kicks a football from ground level with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the horizontal component of its velocity just before it hits the ground?

Accepted Answer

A)  20 m/s 
B)  8.7 m/s 
C)  9.8 m/s 
D)  17 m/s 
E)  0 m/s

Question 16

A bullet is fired from ground level with a speed of 150 m/s at an angle 30.0° above the horizontal at a location where g = 10.0 m/s2. What is the range of the bullet (horizontal distance from the starting point to the point where it lands on the ground)?

Accepted Answer

A)  1130 m 
B)  150 m 
C)  13.0 m 
D)  1950 m 
E)  975 m

Question 17

A ball rolls off the edge of a table. The horizontal component of the ball's velocity remains constant during its entire trajectory because

Accepted Answer

A)  the ball is not acted upon by any force. 
B)  the net force acting on the ball is zero. 
C)  the ball is not acted upon by a force in the horizontal direction. 
D)  the ball is not acted upon by a force in the vertical direction. 
E)  None of the other choices is correct.

Question 18

A ball is thrown horizontally from the top of a building. What will be its vertical displacement from the top of building 2.0 seconds after it leaves your hands?

Accepted Answer

A)  4.9 m 
B)  9.8 m 
C)  19.6 m 
D)  40.2 m 
E)  52.4 m

Question 19

Mary and Debra stand on a snow-covered roof. They both throw snowballs with the same initial speed, but in different directions. Mary throws her snowball downward, at 30° below the horizontal; Debra throws her snowball upward, at 30°. When the snowballs reach the ground below,

Accepted Answer

A)  Debra's snowball will stay in the air longer than Mary's. 
B)  Mary's snowball will stay in the air longer than Debra's. 
C)  Both snowballs will take the same amount of time to hit the ground. 
D)  Debra's snowball never hits the ground since it is thrown upwards. 
E)  Mary's snowball never hits the ground since it is thrown downwards.

Question 20

A ball is thrown at an angle of θ above the horizontal. If there is no acceleration due to gravity the ball will follow a straight-line path.

Accepted Answer

A) True 
 B)False

Exam 4: Two-Dimensional Kinematics

A rock is thrown from ground level at some angle above the horizontal with a certain velocity. It reaches its highest point and starts falling down. What is the magnitude of the velocity of the rock right before it hits the ground?

A ball is thrown horizontally with an initial velocity of 20.0 m/s from the edge of a building of a certain height. The ball lands at a horizontal distance of 82.0 m from the base of the building. What is the height of the building?

A hockey puck slides off the edge of a table with an initial velocity of 20.0 m/s. The height of the table above the ground is 2.00 m. How far from the edge of the table, measured along the floor, does the puck hit the floor?

A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal. The ball leaves her hand 1.00 m above the ground. At what angle below the horizontal does the ball approach the ground?

A bullet is fired from ground level with a speed of 150 m/s at an angle 30.0° above the horizontal at a location where g = 10.0 m/s². What is the horizontal component of its velocity after 4 seconds?

A ball is thrown at an angle θ above the horizontal. In the presence of the acceleration due to gravity, how far below the straight-line path following its original direction of motion will the ball be at the end of 1.0 second?

If the acceleration vector of an object is directed parallel to the velocity vector,

A ball is thrown horizontally with an initial velocity of 40 m/s from a height of 10 m. How long will it take for the ball to touch the ground? Use g = 10 m/s².

A pilot drops a bomb from a plane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plane will

A student kicks a soccer ball in a high arc toward the opponent's goal. At the highest point in its trajectory:

A rock is thrown at some angle above the horizontal with a certain velocity. It reaches its highest point and starts falling down. What is the velocity of the rock at the highest point of its trajectory?

A hockey puck slides off the edge of a table with an initial velocity of 28.0 m/s. The height of the table above the ground is 2.00 m. What is the angle below the horizontal of the velocity of the puck just before it hits the ground?

An athlete throws a ball with a velocity of 40 m/s at an angle of 20° above the horizontal. Which of the following statements is true in this case?

A ball is thrown at an angle 45.0° above the horizontal from ground level with an initial velocity of 20.0 m/s. What is the range of the ball?

A boy kicks a football from ground level with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the horizontal component of its velocity just before it hits the ground?

A bullet is fired from ground level with a speed of 150 m/s at an angle 30.0° above the horizontal at a location where g = 10.0 m/s². What is the range of the bullet (horizontal distance from the starting point to the point where it lands on the ground) ?

A ball rolls off the edge of a table. The horizontal component of the ball's velocity remains constant during its entire trajectory because

A ball is thrown horizontally from the top of a building. What will be its vertical displacement from the top of building 2.0 seconds after it leaves your hands?

Mary and Debra stand on a snow-covered roof. They both throw snowballs with the same initial speed, but in different directions. Mary throws her snowball downward, at 30° below the horizontal; Debra throws her snowball upward, at 30°. When the snowballs reach the ground below,

A ball is thrown at an angle of θ above the horizontal. If there is no acceleration due to gravity the ball will follow a straight-line path.

Exam 4: Two-Dimensional Kinematics

A rock is thrown from ground level at some angle above the horizontal with a certain velocity. It reaches its highest point and starts falling down. What is the magnitude of the velocity of the rock right before it hits the ground?

A ball is thrown horizontally with an initial velocity of 20.0 m/s from the edge of a building of a certain height. The ball lands at a horizontal distance of 82.0 m from the base of the building. What is the height of the building?

A hockey puck slides off the edge of a table with an initial velocity of 20.0 m/s. The height of the table above the ground is 2.00 m. How far from the edge of the table, measured along the floor, does the puck hit the floor?

A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal. The ball leaves her hand 1.00 m above the ground. At what angle below the horizontal does the ball approach the ground?

A bullet is fired from ground level with a speed of 150 m/s at an angle 30.0° above the horizontal at a location where g = 10.0 m/s2. What is the horizontal component of its velocity after 4 seconds?

A ball is thrown at an angle θ above the horizontal. In the presence of the acceleration due to gravity, how far below the straight-line path following its original direction of motion will the ball be at the end of 1.0 second?

If the acceleration vector of an object is directed parallel to the velocity vector,

A ball is thrown horizontally with an initial velocity of 40 m/s from a height of 10 m. How long will it take for the ball to touch the ground? Use g = 10 m/s2.

A pilot drops a bomb from a plane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plane will

A student kicks a soccer ball in a high arc toward the opponent's goal. At the highest point in its trajectory:

A rock is thrown at some angle above the horizontal with a certain velocity. It reaches its highest point and starts falling down. What is the velocity of the rock at the highest point of its trajectory?

A hockey puck slides off the edge of a table with an initial velocity of 28.0 m/s. The height of the table above the ground is 2.00 m. What is the angle below the horizontal of the velocity of the puck just before it hits the ground?

An athlete throws a ball with a velocity of 40 m/s at an angle of 20° above the horizontal. Which of the following statements is true in this case?

A ball is thrown at an angle 45.0° above the horizontal from ground level with an initial velocity of 20.0 m/s. What is the range of the ball?

A boy kicks a football from ground level with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the horizontal component of its velocity just before it hits the ground?

A bullet is fired from ground level with a speed of 150 m/s at an angle 30.0° above the horizontal at a location where g = 10.0 m/s2. What is the range of the bullet (horizontal distance from the starting point to the point where it lands on the ground) ?

A ball rolls off the edge of a table. The horizontal component of the ball's velocity remains constant during its entire trajectory because

A ball is thrown horizontally from the top of a building. What will be its vertical displacement from the top of building 2.0 seconds after it leaves your hands?

Mary and Debra stand on a snow-covered roof. They both throw snowballs with the same initial speed, but in different directions. Mary throws her snowball downward, at 30° below the horizontal; Debra throws her snowball upward, at 30°. When the snowballs reach the ground below,

A ball is thrown at an angle of θ above the horizontal. If there is no acceleration due to gravity the ball will follow a straight-line path.

A bullet is fired from ground level with a speed of 150 m/s at an angle 30.0° above the horizontal at a location where g = 10.0 m/s². What is the horizontal component of its velocity after 4 seconds?

A ball is thrown horizontally with an initial velocity of 40 m/s from a height of 10 m. How long will it take for the ball to touch the ground? Use g = 10 m/s².

A bullet is fired from ground level with a speed of 150 m/s at an angle 30.0° above the horizontal at a location where g = 10.0 m/s². What is the range of the bullet (horizontal distance from the starting point to the point where it lands on the ground) ?