PSI – Physics
Kinematics
Multiple Choice
1. A car travels 60 mi north one day, the following day it travels 40 mi south. What is the net
displacement of the car?
(A) 20 mi south (B) 20 mi north (C) 80 mi north (D) 80 mi south
2. A car travels 60 mi north one day, the following day it travels 40 mi south. What is the net
distance traveled by the car?
(A) 20 mi
(B) 40 mi (C) 60 mi (D) 100 mi
3. An object makes two consecutive displacements Δx1 and Δx2, as shown in the diagram. What is
the direction of the net displacement?
(A)
(B)
(C)
(D)
4. An object moves in a circular path of a constant radius r and describes a quarter of the circle AB
in time t. Which one of the following shows the correct direction of the net displacement?
(A)
(B)
(C)
(D)
5. An object moves in a circular path of a constant radius r=1 m and describes a quarter of the
circle AB in time t. What is the magnitude of the net displacement?
(A) √2
(B) √3
(C) √5
(D) √7
6. An object moves in a circular path of a constant radius r=1 m and describes a quarter of the
circle AB in time t = 5 s. What is the speed of the object?
𝜋
𝜋
𝜋
𝜋
(A) 5
(B) 10
(C) 20
(D) 40
7. A 0.5 km long train crosses a bridge at a constant speed of 9 km/h. If it take 20 min for the train
to cross the bridge, what is the length of the bridge?
(A) 1.5 km
(B) 2.5 km
(C) 3.0 km
(D) 4.5 km
8. A bus travels 300 mi north in 4 h, then 400 mi east in 6 h. What is the average speed?
(A) 30 mi/h
(B) 40 mi/h
(C) 50 mi/h
(D) 70 mi/h
9. A bus travels 300 mi north in 4 h, then 400 mi east in 6 h. What is the average velocity?
(A) 30 mi/h
(B) 40 mi/h
(C) 50mi/h
(D) 70 mi/h
10. A train travels from New York to Boston at an average speed of 60 mi/h. On the returning trip its
average speed is 90 mi/h. What is the average speed for the entire trip?
(A) 72mi/h
(B) 75 mi/h
(C) 60 mi/h
(D) 90 mi/h
11. One day an airplane flies 5 h at an average speed of 450 mi/h, the following day it flies 5 h at an
average speed of 550 mi/h. What is the average speed of the airplane in two day trip?
(A) 400 mi/h
(B) 500 mi/h
(C) 900 mi/h
(D) 1000 mi/h
12. A particle moves from points P1 to point P2 along the x-axis, at time t1=2 s its location is x1 =5 m
and time t2 =7 s, x2=15 m. What is the average velocity of the particle?
(A) 15 m/s
(B) 10 m/s
(C) 5 m/s
(D) 2m/s
13. A ca travels in a straight line along a road. The position as a function of time is given by the
following formula: x = 2t2 +2t – 5. What is the car’s average velocity of the car between time t0=0
and t=2 s?
(A) 6 m/s
(B) 4 m/s
(C) 3 m/s
(D) 1 m/s
14. A car travels in a straight line along a road. The velocity as a function of time is given by the
following formula: v = 4t +2. What is the car’s average acceleration of the car between time t0=0
and t=2 s?
(B) 6 m/s2
(B) 4 m/s2
(C) 3 m/s2
(D) 1 m/s2
15. A bee flies from point P1 to point P2 in 10 s. What is the average velocity of the bee?
(A) 0.4 m/s
(B) 0.3 m/s
(C) 0.2 m/s
(D) 0.5 m/s
16. The position as a function of time of a moving object is presented by the graph. What is the
average velocity of the object between t0 = 0 and t = 4 s?
(A) 1.50 m/s
(B) 1.25m/s
(C) 1.00 m/s
(D) 0.75 m/s
17. The velocity as a function of time of a moving object is presented by the graph. What is the
average acceleration of the object between t0=0 and t=5 s?
(A) 0.8 m/s2
(B) 1.2 m/s2
(C) 1.4 m/s2
(D)1.6 m/s2
18. A car moves in a straight line along a road at a constant acceleration. What is the average
velocity of the car during first 3 s?
(A) 1m/s
(B) 2m/s
(C) 3 m/s
(D) 5m/s
19. A car moves in a straight line along a road at a constant acceleration. What is the car’s
acceleration?
(B) 1 m/s2
(B) 2 m/s2
(C) 3 m/s2
(D) 5 m/s2
20. A particle moves in parallel to the x-axis and it position as a function of time given by the
formula: x = -4t2 + 2t +5. When does the particle come to rest?
(A) 1.50 s
(B) 1.25 s
(C) 0.75 s
(D) 0.25 s
21. A bicyclist moves in a straight line, initially at 10 m/s, uniformly increases its speed to 14 m/s
covering a distance of 48 m. What is the bicyclist’s acceleration?
(A) 1.0 m/s2
(B) 1.5 m/s2
(C) 2.6 m/s2
(D) 4.5 m/s2
22. An object moves in a straight line along x-axis. The position as a function of time is presented by
the graph. At which time(s) or time intervals the object moves at the greatest speed?
(A) From 0 to t1
(B) From t1 to t2
(C) From t2 to t4
(D) From t4 to t5
23. An object moves in a straight line along x-axis. The velocity as a function of time is presented by
the graph. At which time(s) or time intervals the object moves at the greatest speed?
(A) At t1
(B) At t2
(C) At t4
(D) From t4 to t5
24. An object moves in a straight line along x-axis. The acceleration as a function of time is
presented by the graph. At which time(s) or time intervals the object moves at the greatest
speed?
(A) At t1
(B) At t2
(C) At t3
(D) From t4 to t5
25. The position as a function of time of an object moving in a straight line given in the diagram.
What is the instantaneous velocity at 2 s?
(A) Zero
(B) 1 m/s
(C) -1 m/s
(D) 2 m/s
26. The velocity as a function of time of an object moving in a straight line given in the diagram.
What is the instantaneous acceleration at 4 s?
(B) Zero
(B) 1.5 m/s2
(C) -1.5 m/s2
(D) 2 m/s2
27. The velocity as a function of time for a train moving in a straight line presented by the graph.
During which of the following time intervals the train covers the greatest distance?
(A) From 0 to t1 (B) From t1 to t2 (C) From t2 to t3 (D) From t3 to t4
28. The velocity as a function of time for a train moving in a straight line presented by the graph.
Which of the following graphs most closely represents the acceleration as a function of time of
the train?
(A)
(B)
(C)
(D)
29. A student stands on the side of the front of a stationary train. The train starts accelerating at a
constant rate and it takes 10 s for the first car to pass the student. How long will it take for the
fourth car to pass the student?
(A) 9.2 s
(B) 7.4 s
(C) 4.8 s
(D) 2.7 s
30. An object is released from rest and falls a distance h during the first second. How far will it fall
during the third second?
(A) 5h
(B) 4h
(C) 3h
(D) 2h
31. An observer found that two consecutive drops falling from the edge of a roof are separated by
one second when they leave the roof. Which of the following is true about the difference
between the velocities of two consecutive drops?
(A) It increases
(B) It decreases
(C) It stays constant and equals g
(D) It stays constant and equals g/2
32. An observer found that two consecutive drops falling from the edge of a roof are separated by
one second when they leave the roof. Which of the following is true about the distance between
two consecutive drops?
(A)It increases and proportional to t
(B)It decreases and proportional to 1/t
(C)It increases and proportional to t2
(D) It decreases and proportional to 1/t2
33. A student standing at the edge of a cliff simultaneously throws two balls, one straight up with a
speed of 5 m/s and the other straight down at the same speed. How far apart are the balls 2 s
after were thrown?
(A) 10 m
(B) 20 m
(C) 30 m
(D) 40 m
34. The velocity vs. time graph for a moving car on a straight road is shown in the diagram. What is
the average speed of the car during first 10 s?
(A) 1.75m/s
(B) 2.45 m/s
(C) 3.35 m/s
(D) 4.25 m/s
35. The position as a function of time is presented by the graph. Which one of the following is true
about the acceleration?
(A) It constant and positive (B) It is constant and negative (C) It increases (D) It decreases
36. The velocity as a function of time of a moving object is presented by the graph. At which time(s)
does the object have zero acceleration?
(A) 2 s and 11 s (B) 4 s and 10 s (C) 0 s and 16 s
(D) 7 s and 14 s
37. A spring gun fires a bullet on a flat range at an angle Ɵ above the horizontal. Which one of the
following is true about the bullet’s acceleration?
(A) It decreases as the bullet reaches the maximum height
(B) It increases as the bullet reaches the maximum height
(C)It is zero at the highest point
(D) It is a constant
38. A cannon fires a ball on a flat horizontal surface at an angle Ɵ above the horizontal. Which one
of the following is correct about the speed at the highest point?
(A) It is zero
(B) it is greater than initial speed
(C) it is less than initial speed
(C) It is the same as initial
39. A spring gun fires two bullets on a flat horizontal surface at fixed speed. The first bullet is
launched at 30° as the second one at 50° above the horizontal. Which of the following is true?
(A)The first bullet goes higher
(B)The first bullet goes longer horizontal range
(C)The second bullet moves faster at the highest point
(D) The first bullet moves faster at the highest point
40. A projectile is fired on a flat range. Which of the following angles will make the horizontal range
equal to the maximum height?
(A) Ɵ=tan−1 4
(B) Ɵ=sin−1 4
(C) Ɵ=cos −1 4
(D) Ɵ=tan−1
1
4
41. A marble launcher fires a marble on a flat range at a fixed speed but different angles. The
maximum range of the marble is R. What is the range of the marble when it is fired at 30° above
the horizontal?
(A)
√3
R
2
1
2
(B) R
(C)
√2
R
2
1
4
(D) 𝑅
42. A projectile is fired on a flat range with an initial velocity vo at an angle Ɵ above the horizontal.
Which of the following is the direction of the velocity vector at point P?
(A)
(B)
(C)
(D)
43. A projectile is fired on a flat range with an initial velocity vo at an angle Ɵ above the horizontal.
Which of the following is the direction of the acceleration vector at point P?
(B)
(B)
(C)
(D)
44. A projectile is fired from the edge of a cliff with a horizontal velocity of 20 m/s. At what time
after it was fired the horizontal and vertical velocities are equal in magnitude?
(A) 0.5 s
(B) 1.0 s
(C) 1.5 s
(D) 2.0 s
45. A cannon ball is fired on a flat horizontal surface with a velocity vo and an angle Ɵ above the
horizontal. If τ is the total time of flight, what horizontal range does the cannon ball travel?
(A)
1
voτ
2
cosƟ
(B) voτ cosƟ
(C) voτ sinƟ
(D) voτ tanƟ
Answer Key
Multiple Choice
1.
2.
3.
4.
5.
B
D
D
A
A
1.
2.
3.
4.
5.
B
B
D
C
A
11. B
12. D
13. A
14. B
15. D
16. B
17. D
18. C
19. B
20. D
21. A
22. C
23. B
24. C
25. B
26. C
27. B
28. D
29. D
30. A
31. C
32. A
33. B
34. C
35. B
36.D
37. D
38. C
39. D
40. A
41. A
42. D
43. C
44. D
45. B