, Chapter 2--Motion in One Dimension
Student: ___________________________________________________________________________
1. The position of a particle moving along the x axis is given by x = (21 + 22t - 6.0t2)m, where t is in s.
What is the average velocity during the time interval t = 1.0 s to t = 3.0 s?
A. -6.0 m/s
B. -4.0 m/s
C. -2.0 m/s
D. -8.0 m/s
E. 8.0 m/s
2. A bullet is fired through a board, 14.0 cm thick, with its line of motion perpendicular to the face of the
board. If it enters with a speed of 450 m/s and emerges with a speed of 220 m/s, what is the bullet's
acceleration as it passes through the board?
A. -500 km/s22
B. -550 km/s2
C. -360 km/s2
D. -520 km/s2
E. -275 km/s
3. The position of a particle moving along the x axis is given by x = 6.0t2 - 1.0t3, where x is in meters and t
in seconds. What is the position of the particle when it achieves its maximum speed in the positive x
direction?
A. 24 m
B. 12 m
C. 32 m
D. 16 m
E. 2.0 m
4. The velocity of a particle moving along the x axis is given for t > 0 by vx = (32.0t - 2.00t3) m/s, where t
is in s. What is the acceleration of the particle when (after t = 0) it achieves its maximum displacement in
the positive x direction?
A. -64.0 m/s2
B. zero 2
C. 128 m/s 2
D. 32.0 m/s 2
E. -32.0 m/s
5. The position of a particle as it moves along the x axis is given for t > 0 by x = (t3 - 3t2 + 6t) m, where t is
in s. Where is the particle when it achieves its minimum speed (after t = 0)?
A. 3 m
B. 4 m
C. 8 m
D. 2 m
E. 7 m
1
,6. The position of a particle as it moves along the x axis is given by x = 15e-2t m, where t is in s. What is
the acceleration of the particle at t = 1 s?
A. 22 m/s
B. 60 m/s
C. 8.1 m/s
D. 15 m/s
E. 35 m/s
7. Vx is the velocity of a particle moving along the x axis as shown. If x = 2.0 m at t = 1.0 s, what is the
position of the particle at t = 6.0 s?
A. -2.0 m
B. +2.0 m
C. +1.0 m
D. -1.0 m
E. 6.0 m
8. A particle moving along the x axis has a position given by x = (24t – 2.0t3) m, where t is measured in s.
What is the magnitude of the acceleration of the particle at the instant when its velocity is zero?
A. 24 m/s2
B. zero 2
C. 12 m/s2
D. 48 m/s2
E. 36 m/s
2
, 9. At t = 0, a particle is located at x = 25 m and has a velocity of 15 m/s in the positive x direction. The
acceleration of the particle varies with time as shown in the diagram. What is the velocity of the particle
at t = 5.0 s?
A. +15 m/s
B. -15 m/s
C. +30 m/s
D. 0
E. -1.2 m/s
10. At t = 0, a particle is located at x = 25 m and has a velocity of 15 m/s in the positive x direction. The
acceleration of the particle varies with time as shown in the diagram. What is the position of the particle
at t = 5.0 s?
A. 175 m
B. 125 m
C. 138 m
D. 154 m
E. 165 m
3
Student: ___________________________________________________________________________
1. The position of a particle moving along the x axis is given by x = (21 + 22t - 6.0t2)m, where t is in s.
What is the average velocity during the time interval t = 1.0 s to t = 3.0 s?
A. -6.0 m/s
B. -4.0 m/s
C. -2.0 m/s
D. -8.0 m/s
E. 8.0 m/s
2. A bullet is fired through a board, 14.0 cm thick, with its line of motion perpendicular to the face of the
board. If it enters with a speed of 450 m/s and emerges with a speed of 220 m/s, what is the bullet's
acceleration as it passes through the board?
A. -500 km/s22
B. -550 km/s2
C. -360 km/s2
D. -520 km/s2
E. -275 km/s
3. The position of a particle moving along the x axis is given by x = 6.0t2 - 1.0t3, where x is in meters and t
in seconds. What is the position of the particle when it achieves its maximum speed in the positive x
direction?
A. 24 m
B. 12 m
C. 32 m
D. 16 m
E. 2.0 m
4. The velocity of a particle moving along the x axis is given for t > 0 by vx = (32.0t - 2.00t3) m/s, where t
is in s. What is the acceleration of the particle when (after t = 0) it achieves its maximum displacement in
the positive x direction?
A. -64.0 m/s2
B. zero 2
C. 128 m/s 2
D. 32.0 m/s 2
E. -32.0 m/s
5. The position of a particle as it moves along the x axis is given for t > 0 by x = (t3 - 3t2 + 6t) m, where t is
in s. Where is the particle when it achieves its minimum speed (after t = 0)?
A. 3 m
B. 4 m
C. 8 m
D. 2 m
E. 7 m
1
,6. The position of a particle as it moves along the x axis is given by x = 15e-2t m, where t is in s. What is
the acceleration of the particle at t = 1 s?
A. 22 m/s
B. 60 m/s
C. 8.1 m/s
D. 15 m/s
E. 35 m/s
7. Vx is the velocity of a particle moving along the x axis as shown. If x = 2.0 m at t = 1.0 s, what is the
position of the particle at t = 6.0 s?
A. -2.0 m
B. +2.0 m
C. +1.0 m
D. -1.0 m
E. 6.0 m
8. A particle moving along the x axis has a position given by x = (24t – 2.0t3) m, where t is measured in s.
What is the magnitude of the acceleration of the particle at the instant when its velocity is zero?
A. 24 m/s2
B. zero 2
C. 12 m/s2
D. 48 m/s2
E. 36 m/s
2
, 9. At t = 0, a particle is located at x = 25 m and has a velocity of 15 m/s in the positive x direction. The
acceleration of the particle varies with time as shown in the diagram. What is the velocity of the particle
at t = 5.0 s?
A. +15 m/s
B. -15 m/s
C. +30 m/s
D. 0
E. -1.2 m/s
10. At t = 0, a particle is located at x = 25 m and has a velocity of 15 m/s in the positive x direction. The
acceleration of the particle varies with time as shown in the diagram. What is the position of the particle
at t = 5.0 s?
A. 175 m
B. 125 m
C. 138 m
D. 154 m
E. 165 m
3
