Question 1

Two similar objects are thrown simultaneously from the top of a building with the same speed. One is thrown vertically downward, and the other at an angle. Both objects reach the ground at the same time.

Accepted Answer

A) True 
 B)False

Question 2

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. What is the magnitude of the ball's velocity just before it hits the ground?

Accepted Answer

A)  1.22 m/s 
B)  6.79 m/s 
C)  7.45 m/s 
D)  9.14 m/s 
E)  4.58 m/s

Question 3

For general projectile motion, the vertical component of a projectile's acceleration

Accepted Answer

A)  is zero. 
B)  remains a non-zero constant. 
C)  continuously increases. 
D)  continuously decreases. 
E)  any of the above, depending on position.

Question 4

A ball is thrown at an angle 45° above the horizontal with an initial velocity of 20 m/s. What is the total time of flight of the ball before it hits the ground?

Accepted Answer

A)  9.8 s 
B)  6.1 s 
C)  2.9 s 
D)  4.9 s 
E)  1.5 s

Question 5

When a football in a field goal attempt reaches its maximum height, how does its speed compare to its initial speed?

Accepted Answer

A)  It is zero. 
B)  It is less than its initial speed. 
C)  It is equal to its initial speed. 
D)  It is greater than its initial speed. 
E)  Cannot be determined without additional information.

Question 6

A bullet is fired with a certain velocity at an angle θ above the horizontal at a location where g = 10.0 m/s2. The initial x- and y-components of its velocity are 86.6 m/s and 50.0 m/s respectively. What is the range of the bullet?

Accepted Answer

A)  500 m 
B)  1000 m 
C)  100 m 
D)  866 m 
E)  433 m

Question 7

A monkey is sitting at the top of a tree 20 m high from the ground level. A person standing on the ground wants to feed the monkey. He uses a bow and arrow to launch the food to the monkey. If the monkey remains seated at the top of the tree, how should the person aim the arrow containing the food so that the monkey gets the food?

Accepted Answer

A)  He should aim it at the monkey. 
B)  He should aim it below the monkey. 
C)  He should aim it above the monkey. 
D)  None of the other choices is correct.

Question 8

A boy kicks a football from ground level with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the horizontal distance to the point where the football hits the ground?

Accepted Answer

A)  20 m 
B)  35 m 
C)  18 m 
D)  60 m 
E)  30.0 m

Question 9

A rock is thrown upwards at an angle of 40° with respect to the horizontal. As the rock is rising in its trajectory, the horizontal component of its velocity

Accepted Answer

A)  increases. 
B)  decreases. 
C)  remains the same. 
D)  is zero. 
E)  Cannot be determined without additional information.

Question 10

A bullet is fired with a certain velocity at an angle θ above the horizontal at a location where g = 10.0 m/s2. The initial x and y components of its velocity are 86.6 m/s and 50.0 m/s respectively. How long does it take before the bullet gets to the highest point of its trajectory?

Accepted Answer

A)  5.0 seconds 
B)  10.0 seconds 
C)  15.0 seconds 
D)  20.0 seconds 
E)  None of the other choices is correct.

Question 11

A projectile is fired from ground level with an initial speed of 55.6 m/s at an angle of 41.2° above the horizontal.
(a) Determine the time necessary for the projectile to reach its maximum height.
(b) Determine the maximum height reached by the projectile.
(c) Determine the horizontal and vertical components of the velocity vector at the maximum height.
(d) Determine the horizontal and vertical components of the acceleration vector at the maximum height.

Accepted Answer

The answer of A projectile is fired from ground level...

Question 12

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 vertical component of its velocity at the highest point of its trajectory?

Accepted Answer

A)  0 m/s 
B)  9.8 m/s 
C)  19.6 m/s 
D)  4.9 m/s 
E)  17 m/s

Question 13

A child is trying to throw a ball over a fence. She gives the ball 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 and the fence is 2.00 m high. The ball just clears the fence while still traveling upwards. How far is the child from the fence?

Accepted Answer

A)  0.732 m 
B)  1.58 m 
C)  2.69 m 
D)  3.81 m 
E)  7.46 m

Question 14

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 when it is at the highest point of its trajectory?

Accepted Answer

A)  0 m/s 
B)  10 m/s 
C)  75.0 m/s 
D)  130 m/s 
E)  150 m/s

Question 15

A bullet is fired with a certain velocity at an angle θ above the horizontal at a location where g = 10.0 m/s2. The initial x- and y-components of its velocity are 86.6 m/s and 50.0 m/s respectively. How long does it take before the bullet hits the ground?

Accepted Answer

A)  5.0 seconds 
B)  10.0 seconds 
C)  15.0 seconds 
D)  20.0 seconds 
E)  None of the other choices is correct.

Question 16

A boy kicks a football from ground level with a certain initial velocity at an angle 30.0° above the horizontal. In 2.00 seconds the ball completes its trajectory and hits the ground. What is the initial velocity of the ball?

Accepted Answer

A)  9.80 m/s 
B)  4.90 m/s 
C)  39.2 m/s 
D)  19.6 m/s 
E)  78.4 m/s

Question 17

An athlete competing in long jump leaves the ground with a speed of 9.14 m/s at an angle of 35.0° above the horizontal. How long does the athlete stay in the air?

Accepted Answer

A)  0.501 s 
B)  0.876 s 
C)  1.07 s 
D)  2.53 s 
E)  0.535 s

Question 18

For general projectile motion, the horizontal component of a projectile's acceleration

Accepted Answer

A)  is zero. 
B)  remains a non-zero constant. 
C)  continuously increases. 
D)  continuously decreases. 
E)  any of the above, depending on position.

Question 19

A person throws a ball horizontally from the top of a building that is 24.0 m above the ground level. The ball lands 100 m down range from the base of the building. What was the initial velocity of the ball?

Accepted Answer

A)  202 m/s 
B)  9.80 m/s 
C)  19.6 m/s 
D)  45.2 m/s 
E)  94.4°

Question 20

For a projectile launched horizontally, the vertical component of a projectile's velocity

Accepted Answer

A)  is zero. 
B)  remains a non-zero constant. 
C)  continuously increases. 
D)  continuously decreases. 
E)  any of the above, depending on position.

Exam 4: Two-Dimensional Kinematics

Two similar objects are thrown simultaneously from the top of a building with the same speed. One is thrown vertically downward, and the other at an angle. Both objects reach the ground at the same time.

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. What is the magnitude of the ball's velocity just before it hits the ground?

For general projectile motion, the vertical component of a projectile's acceleration

A ball is thrown at an angle 45° above the horizontal with an initial velocity of 20 m/s. What is the total time of flight of the ball before it hits the ground?

When a football in a field goal attempt reaches its maximum height, how does its speed compare to its initial speed?

A bullet is fired with a certain velocity at an angle θ above the horizontal at a location where g = 10.0 m/s². The initial x- and y-components of its velocity are 86.6 m/s and 50.0 m/s respectively. What is the range of the bullet?

A boy kicks a football from ground level with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the horizontal distance to the point where the football hits the ground?

A rock is thrown upwards at an angle of 40° with respect to the horizontal. As the rock is rising in its trajectory, the horizontal component of its velocity

A bullet is fired with a certain velocity at an angle θ above the horizontal at a location where g = 10.0 m/s². The initial x and y components of its velocity are 86.6 m/s and 50.0 m/s respectively. How long does it take before the bullet gets to the highest point of its trajectory?

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 vertical component of its velocity at the highest point of its trajectory?

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 when it is at the highest point of its trajectory?

A bullet is fired with a certain velocity at an angle θ above the horizontal at a location where g = 10.0 m/s². The initial x- and y-components of its velocity are 86.6 m/s and 50.0 m/s respectively. How long does it take before the bullet hits the ground?

A boy kicks a football from ground level with a certain initial velocity at an angle 30.0° above the horizontal. In 2.00 seconds the ball completes its trajectory and hits the ground. What is the initial velocity of the ball?

An athlete competing in long jump leaves the ground with a speed of 9.14 m/s at an angle of 35.0° above the horizontal. How long does the athlete stay in the air?

For general projectile motion, the horizontal component of a projectile's acceleration

A person throws a ball horizontally from the top of a building that is 24.0 m above the ground level. The ball lands 100 m down range from the base of the building. What was the initial velocity of the ball?

For a projectile launched horizontally, the vertical component of a projectile's velocity