## PHYSICS FOR SCIENTISTS AND ENGINEERS 9TH EDITION BY SERWAY – TEST BANK

**Chapter 4—Motion in Two Dimensions**

**MULTIPLE CHOICE**

1.At *t* = 0, a particle leaves the origin with a velocity of 9.0 m/s in the positive *y* direction and moves in the *xy* plane with a constant acceleration of (2.0**i** − 4.0**j**) m/s^{2}. At the instant the *x *coordinate of the particle is 15 m, what is the speed of the particle?

a. |
10 m/s |

b. |
16 m/s |

c. |
12 m/s |

d. |
14 m/s |

e. |
26 m/s |

ANS: A PTS: 2 DIF: Average

2.A particle starts from the origin at *t* = 0 with a velocity of 6.0 m/s and moves in the *xy* plane with a constant acceleration of (−2.0 + 4.0) m/s^{2}. At the instant the particle achieves its maximum positive *x *coordinate, how far is it from the origin?

a. |
36 m |

b. |
20 m |

c. |
45 m |

d. |
27 m |

e. |
37 m |

ANS: B PTS: 2 DIF: Average

3.A particle leaves the origin with a velocity of 7.2 m/s in the positive *y* direction and moves in the *xy* plane with a constant acceleration of (3.0 − 2.0) m/s^{2}. At the instant the particle moves back across the *x *axis (*y* = 0), what is the value of its *x *coordinate?

a. |
65 m |

b. |
91 m |

c. |
54 m |

d. |
78 m |

e. |
86 m |

ANS: D PTS: 2 DIF: Average

4.At *t* = 0, a particle leaves the origin with a velocity of 5.0 m/s in the positive *y* direction. Its acceleration is given by = (3.0 − 2.0) m/s^{2}. At the instant the particle reaches its maximum *y *coordinate how far is the particle from the origin?

a. |
11 m |

b. |
16 m |

c. |
22 m |

d. |
29 m |

e. |
19 m |

ANS: A PTS: 2 DIF: Average

5.A particle moves in the *xy* plane with a constant acceleration given by . At *t* = 0, its position and velocity are 10 m and , respectively. What is the distance from the origin to the particle at *t* = 2.0 s?

a. |
6.4 m |

b. |
10 m |

c. |
8.9 m |

d. |
2.0 m |

e. |
6.2 m |

ANS: B PTS: 3 DIF: Challenging

6.A particle starts from the origin at *t* = 0 with a velocity of (16 − 12) m/s and moves in the *xy* plane with a constant acceleration of = (3.0 − 6.0) m/s^{2}. What is the speed of the particle at *t* = 2.0 s?

a. |
52 m/s |

b. |
39 m/s |

c. |
46 m/s |

d. |
33 m/s |

e. |
43 m/s |

ANS: D PTS: 2 DIF: Average

7.At *t* = 0, a particle leaves the origin with a velocity of 12 m/s in the positive *x* direction and moves in the *xy* plane with a constant acceleration of . At the instant the *y *coordinate of the particle is 18 m, what is the *x *coordinate of the particle?

a. |
30 m |

b. |
21 m |

c. |
27 m |

d. |
24 m |

e. |
45 m |

ANS: C PTS: 2 DIF: Average

8.The initial speed of a cannon ball is 0.20 km/s. If the ball is to strike a target that is at a horizontal distance of 3.0 km from the cannon, what is the minimum time of flight for the ball?

a. |
16 s |

b. |
21 s |

c. |
24 s |

d. |
14 s |

e. |
19 s |

ANS: A PTS: 3 DIF: Challenging

9.A ball is thrown horizontally from the top of a building 0.10 km high. The ball strikes the ground at a point 65 m horizontally away from and below the point of release. What is the speed of the ball just before it strikes the ground?

a. |
43 m/s |

b. |
47 m/s |

c. |
39 m/s |

d. |
36 m/s |

e. |
14 m/s |

ANS: B PTS: 2 DIF: Average

10.A baseball is hit at ground level. The ball is observed to reach its maximum height above ground level 3.0 s after being hit. And 2.5 s after reaching this maximum height, the ball is observed to barely clear a fence that is 97.5 m from where it was hit. How high is the fence?

a. |
8.2 m |

b. |
15.8 m |

c. |
13.5 m |

d. |
11.0 m |

e. |
4.9 m |

ANS: C PTS: 2 DIF: Average

11.A rock is projected from the edge of the top of a building with an initial velocity of 12.2 m/s at an angle of 53° above the horizontal. The rock strikes the ground a horizontal distance of 25 m from the base of the building. Assume that the ground is level and that the side of the building is vertical. How tall is the building?

a. |
25.3 m |

b. |
29.6 m |

c. |
27.4 m |

d. |
23.6 m |

e. |
18.9 m |

ANS: D PTS: 2 DIF: Average

12.A projectile is thrown from the top of a building with an initial velocity of 30 m/s in the horizontal direction. If the top of the building is 30 m above the ground, how fast will the projectile be moving just before it strikes the ground?

a. |
35 m/s |

b. |
39 m/s |

c. |
31 m/s |

d. |
43 m/s |

e. |
54 m/s |

ANS: B PTS: 2 DIF: Average

13.A rifle is aimed horizontally at the center of a large target 60 m away. The initial speed of the bullet is 240 m/s. What is the distance from the center of the target to the point where the bullet strikes the target?

a. |
48 cm |

b. |
17 cm |

c. |
31 cm |

d. |
69 cm |

e. |
52 cm |

ANS: C PTS: 2 DIF: Average

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