## Test Bank for Physics for Scientists and Engineers 9th Edition by Serway

**Chapter 2â€”Motion in One Dimension**

**MULTIPLE CHOICE**

1.The position of a particle moving along the *x* axis is given by *x* = (21 22*t* âˆ’ 6.0*t*^{2})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. |
âˆ’6.0 m/s |

b. |
âˆ’4.0 m/s |

c. |
âˆ’2.0 m/s |

d. |
âˆ’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. |
âˆ’500 km/s |

b. |
âˆ’550 km/s |

c. |
âˆ’360 km/s |

d. |
âˆ’520 km/s |

e. |
âˆ’275 km/s |

ANS: B PTS: 3 DIF: Challenging

3.The position of a particle moving along the *x* axis is given by *x* = 6.0*t*^{2} âˆ’ 1.0*t*^{3}, 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 *v _{x}* = (32.0

*t*âˆ’ 2.00

*t*

^{3}) 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. |
âˆ’64.0 m/s |

b. |
zero |

c. |
128 m/s |

d. |
32.0 m/s |

e. |
âˆ’32.0 m/s |

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* = (*t*^{3} âˆ’ 3*t*^{2} 6*t*) 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^{âˆ’}^{2}* ^{t}* 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.*V _{x} *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. |
âˆ’2.0 m |

b. |
2.0 m |

c. |
1.0 m |

d. |
âˆ’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* = (24*t* â€“ 2.0*t*^{3}) 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/s |

b. |
zero |

c. |
12 m/s |

d. |
48 m/s |

e. |
36 m/s |

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. |
âˆ’15 m/s |

c. |
30 m/s |

d. |
0 |

e. |
âˆ’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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