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Chapter 2—Motion in One Dimension
MULTIPLE CHOICE
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 |
ANS: C PTS: 2 DIF: Average
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/s2 |
|
b. |
−550 km/s2 |
|
c. |
−360 km/s2 |
|
d. |
−520 km/s2 |
|
e. |
−275 km/s2 |
ANS: B PTS: 3 DIF: Challenging
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 |
ANS: D PTS: 3 DIF: Challenging
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 |
|
c. |
128 m/s2 |
|
d. |
32.0 m/s2 |
|
e. |
−32.0 m/s2 |
ANS: A PTS: 3 DIF: Challenging
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 |
ANS: B PTS: 2 DIF: Average
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 = 1.0 s?
|
a. |
22 m/s |
|
b. |
60 m/s |
|
c. |
8.1 m/s |
|
d. |
15 m/s |
|
e. |
35 m/s |
ANS: C PTS: 2 DIF: Average
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 |
ANS: D PTS: 2 DIF: Average
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 |
|
c. |
12 m/s2 |
|
d. |
48 m/s2 |
|
e. |
36 m/s2 |
ANS: A PTS: 2 DIF: Average
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 |
ANS: C PTS: 2 DIF: Average
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 |
ANS: D PTS: 3 DIF: Challenging
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