Self-Test: Vector Kinematics 1D and 2D Test #2
Suggested Time: 60 minutes

1.

A 35 kg object released from rest near the surface of a planet falls 7.3 m in 1.5 s. What is the acceleration due to gravity on this planet?

 A. 4.9 m/s2 B. 6.5 m/s2 C. 9.7 m/s2 D. 170 m/s2

2.

A projectile is fired with an initial velocity of 65 m/s at an angle of 23° above the horizontal. If air resistance is negligible, how much time elapses before the projectile reaches its maximum height?

 A. 2.6 s B. 2.8 s C. 6.1 s D. 6.6 s

3. An object is fired up a frictionless ramp as shown in the diagram.

If the initial velocity is 35 m/s , how long does the object take to return to the starting point?

 A. 3.6 s B. 3.9 s C. 7.9 s D. 17 s

4.

Which of the following graphs best illustrates the horizontal displacement of a projectile as a function of time? Ignore friction.

 A. B. C. D.

5.

A projectile is launched at 35.0° above the horizontal with an initial velocity of 120 m/s. What is the projectile’s speed 3.00 s later?

 A. 68.8 m/s B. 98.3 m/s C. 106 m/s D. 120 m/s

6. Which of the following is true for projectile motion? (Ignore friction.)

7.

A ball is thrown vertically upward at 20 m/s from a height of 30 m above the ground. What is its speed on impact with the ground below?

 A. 14 m/s B. 24 m/s C. 31 m/s D. 44 m/s

8.

An object is launched over level ground at 35° above the horizontal with an initial speed of 52 m/s. What is the time of flight?

 A. 5.3 s B. 6.1 s C. 8.7 s D. 11 s

9.

A 2-kilogram block is dropped from the roof of a tall building at the same time a 6-kilogram ball is thrown horizontally from the same height. Which statement best describes the motion of the block and the motion of the ball? [Neglect air resistance.]

 A. The 2-kg block hits the ground first because it has no horizontal velocity. B. The 6-kg ball hits the ground first because it has more mass. C. The 6-kg ball hits the ground first because it is round. D. The block and the ball hit the ground at the same time because they have the same vertical acceleration.

10.

The diagram below represents the relationship between velocity and time of travel for four cars, A, B, C, and D, in straight-line motion.

Which car has the greatest acceleration during the time interval 10. seconds to 15 seconds?

 A. A B. B C. C D. D

11.

A ball is rolled off a horizontal roof at 16m/s. After leaving the roof, how long will the ball take to reach a speed of 18m/s?

 A. 0.20 s B. 0.84 s C. 1.2 s D. 1.8 s

12.

A projectile is launched with a speed of 56 m/s at an angle of 25° above the horizontal. If air friction is ignored, what is the speed of the projectile at the top of its trajectory?

 A. 0 m/s B. 24 m/s C. 51 m/s D. 56 m/s

13.

A missile is fired horizontally from the top of a 78.4 m building with an initial velocity of 50.0 m/s. Its horizontal range will be:

 A. 98 m B. 159 m C. 200 m D. 392 m

14.

A rock is thrown horizontally with an initial speed of 41 m/s from a cliff 32 m above a lake. If air resistance is negligible, what is the velocity of the rock at the moment of its impact with the water?

 A.45 m/s, 23° from the horizontal B. 45 m/s, 67° from the horizontal C. 48 m/s, 31° from the horizontal D. 48 m/s, 59° from the horizontal

15.

A baseball is thrown vertically upward into the air. What is the instantaneous acceleration of the ball at its highest point?

 A. 9.8 m/s2 down B. 9.8 m/s2 up C. changing from 9.8 m/s2 up to 9.8 m/s2 down. D. zero

16.

A machine launches a tennis ball at an angle of 45° with the horizontal, as shown. The ball has an initial vertical velocity of 9.0 meters per second and an initial horizontal velocity of 9.0 meters per second. The ball reaches its maximum height 0.92 second after its launch. [Neglect air resistance and assume the ball lands at the same height above the ground from which it was launched.]

a) What is speed of the tennis ball as it leaves the launcher? (1 mark)

b) What is the  total horizontal distance traveled by the tennis ball during the entire time it is in the air? (1 mark)

c) The speed at which the launcher fires tennis balls is constant, but the angle between the launcher and the horizontal can be varied. As the angle is decreased from 45° to 30.°, the range of the tennis balls

(choose one of the following) (1 mark)

i) decreases

ii) increases

iii) remains the same

d) Using principle of physics, explain your answer to part (c) (3 marks)

17. A student collects data from the path of a projectile similar to that shown in the diagram.

The student records the following data for horizontal displacement from the initial launch position as a function of time.

a) Plot a graph of dx vs. t on the graph below. (2 marks)

b) Calculate the slope of the line, expressing the answer in appropriate units. (2 marks)

c) Based on this data and graph, make a statement about the behaviour of projectiles. (1 mark)

18.

A stunt vehicle leaves an incline with a speed of 35 m/s at a height of 52 m above level ground. Air resistance is

a) What are the vehicle’s vertical and horizontal velocity components as it leaves the incline? (1 mark)

b) What is the vehicle’s time of flight? (4 marks)

c) What is the vehicle’s range, R ? (2 marks)

19. The data table shows the velocity of a car during a 5.0 s interval.

a) Plot the data and draw a best-fit straight line. (2 marks)

b) Calculate the area bounded by the graph and the time axis between t = 0.0 s and t = 5.0 s. (2 marks)

c) What does this area represent? (1 mark)

20.

A 0.50 kg ball is thrown at 42° above the horizontal at 19 m/s from a stationary hot air balloon 25 m above the ground.

What is the range? (7 marks)

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