Practise Problems on Kinematics

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Physics 060 Kinematics Practise Problems

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

1) Suppose that an object travels from one point in space to another. Make a comparison between the displacement and the distance traveled.

1) _______

A) The displacement is either greater than or equal to the distance traveled.

B) The displacement can be either greater than, smaller than, or equal to the distance traveled.

C) The displacement is either less than or equal to the distance traveled.

D) The displacement is always equal to the distance traveled.

2) Suppose that an object is moving with a constant velocity. Make a statement concerning its acceleration.

2)

_______

A) The acceleration must be equal to zero.

B) The acceleration must be constantly increasing.

C) The acceleration must be constantly decreasing.

D) The acceleration must be a constant non-zero value.

3) Can an object's velocity change direction when its acceleration is constant? Support your answer with an example.

3) _______

A) No, this is not possible because it is always speeding up.

B) Yes, this is possible, and a car that starts from rest, speeds up, slows to a stop, and then backs up is an example.

C) No, this is not possible because it is always speeding up or always slowing down, but it can never turn around.

D) Yes, this is possible, and a rock thrown straight up is an example.

4) When an object is released from rest and falls in the absence of friction, which of the following is true concerning its motion?

4) _______

A) Neither its acceleration nor its velocity is constant.

B) Both its acceleration and its velocity are constant.

C) Its velocity is constant.

D) Its acceleration is constant.

5) Suppose a ball is thrown straight up. What is its acceleration just before it reaches its highest point?

5) _______

A) slightly greater than g B) zero

C) exactly g D) slightly less than g

6) A ball is thrown straight up, reaches a maximum height, then falls to its initial height. Make a statement about the direction of the velocity and acceleration as the ball is coming down.

6) _______

A) Both its velocity and its acceleration point upward.

B) Its velocity points downward and its acceleration points upward.

C) Its velocity points upward and its acceleration points downward.

D) Both its velocity and its acceleration point downward.

7) Suppose a skydiver jumps from a high-flying plane. What is her acceleration when she she reaches terminal velocity?

7) _______

A) It is in the upward direction.

B) It is a constant pointing upward.

C) It is approximately 9.8 m/s2 downward.

D) It is essentially zero.

8) An object is moving with constant non-zero velocity in the +x axis. The position versus time graph of this object is

8) _______

A) a straight line making an angle with the time axis.

B) a parabolic curve.

C) a horizontal straight line.

D) a vertical straight line.

9) The slope of a position versus time graph gives 9) _______

A) velocity.

B) position.

C) displacement.

D) acceleration.

10) The area under a curve in an acceleration versus time graph gives 10) ______

A) velocity.

B) acceleration.

C) displacement.

D) position.

11) If the position versus time graph of an object is a horizontal line, the object is 11) ______

A) moving with infinite speed.

B) moving with constant non-zero speed.

C) at rest.

D) moving with constant non-zero acceleration.

12) If the velocity versus time graph of an object is a horizontal line, the object is 12) ______

A) at rest.

B) moving with constant non-zero acceleration.

C) moving with infinite speed.

D) moving with constant non-zero speed.

13) A runner ran the marathon (approximately 42.0 km) in 2 hours and 57 min. What is the average speed of the runner in m/s?

13) ______

A) 3.95 m/s B) 14.2 m/s

C) 124 m/s D) 14.2 × 103 m/s

14) A motorist travels 160 km at 80 km/h and 160 km at 100 km/h. What is the average speed of the motorist for this trip?

14) ______

A) 90 km/h B) 91 km/h C) 84 km/h D) 89 km/h

15) An airplane travels at 300 mi/h south for 2.00 h and then at 250 mi/h north for 750 miles. What is the average speed for the trip?

15) ______

A) 280 mi/h B) 275 mi/h C) 260 mi/h D) 270 mi/h

16) A car traveling 60 km/h accelerates at the rate of 2.0 m/s2. How much time is required for the car to reach a speed of 90 km/h?

16) ______

A) 15 s B) 45 s C) 30 s D) 4.2 s

17) A bullet moving horizontally to the right (+ x direction) with a speed of 500 m/s strikes a sandbag and penetrates a distance of 10.0 cm. What is the average acceleration, in m/s2, of the bullet?

17) ______

A) -2.50 × 103 B) -1.25 × 106 C) -1.25 × 103 D) -2.50 × 106

18) A car starting from rest moves with constant acceleration of 2.0 m/s2 for 10 s, then travels with constant speed for another 10 s, and then finally slows to a stop with constant acceleration of -2.0 m/s2. How far does it travel?

18)

______

A) 400 m B) 200 m C) 500 m D) 300 m

19) An object is thrown upward with a speed of 14 m/s on the surface of planet X where the acceleration due to gravity is 3.5 m/s2. What is the speed of the object after 8.0 s?

19) ______

A) 14 m/s B) 64 m/s C) 21 m/s D) 7.0 m/s

20) A ball is thrown upward at a velocity of 19.6 m/s. What is its velocity after 3.00 s?

20) ______

A) 9.8 m/s upward B) 9.8 m/s downward

C) 19.6 downward D) zero

21) A ball is thrown straight up with a speed of 36.0 m/s. How long does it take to return to its starting point?

21)

______

A) 7.35 s B) 14.7 s C) 3.67 s D) 11.0 s

FIGURE 2-1

22) In Fig. 2-1, what is the velocity at t = 1.0 s?

22) ______

A) 0 B) -40 m/s C) 20 m/s D) 10 m/s

23) In Fig. 2-1, what is the velocity at t = 4.0 s?

23) ______

A) 0 B) -40 m/s C) 20 m/s D) 10 m/s

24) In Fig. 2-1, what is the average velocity from 0 to 4.0 s?

24) ______

A) 20 m/s B) 0 C) 10 m/s D) -40 m/s

FIGURE 2-2

25) In Fig. 2-2, what is the acceleration at 1.0 s?

25) ______

A) 2.0 m/s2 B) 0 C) -2.5 m/s2 D) 10 m/s2

26) In Fig. 2-2, what is the average acceleration from 0 to 5.0 s?

26) ______

17) B

18) A

19) A

A) -2.5 m/s2 B) 2.0 m/s2 C) 10 m/s2 D) 0

27) In Fig. 2-2, what is the displacement from 0 to 8.0 s?

27) ______

A) 60 m B) 40 m C) 20 m D) 80 m

Answers

9) A

10) A

11) C

12) D

13) A

14) D

15) D

16) D

5) C

6) D

7) D

8) A

1) C

2) A

3) D

4) D

20) B

21) A

22) D

23) A

24) C

25) D

26) B

27) A

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