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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
11. A particle confined to motion along the x axis
moves with constant acceleration from x = 2.0 m to x = 8.0 m
during a 2.5-s time interval. The velocity of the particle at x = 8.0 m
is 2.8 m/s. What is the acceleration during this time interval?
a.
|
0.48 m/s2
|
b.
|
0.32 m/s2
|
c.
|
0.64 m/s2
|
d.
|
0.80 m/s2
|
e.
|
0.57 m/s2
|
ANS: B PTS: 3 DIF: Challenging
12. A proton moving along the x axis has
an initial velocity of 4.0 ´ 106 m/s and a constant acceleration of 6.0 ´ 1012 m/s2. What is
the velocity of the proton after it has traveled a distance of 80 cm?
a.
|
5.1 ´ 106 m/s
|
b.
|
6.3 ´ 106 m/s
|
c.
|
4.8 ´ 106 m/s
|
d.
|
3.9 ´ 106 m/s
|
e.
|
2.9 ´ 106 m/s
|
ANS: A PTS: 2 DIF: Average
13. A particle moving with a constant
acceleration has a velocity of 20 cm/s when its position is x = 10 cm.
Its position 7.0 s later is x = -30 cm. What is the acceleration of the
particle?
a.
|
-7.3 cm/s2
|
b.
|
-8.9 cm/s2
|
c.
|
-11 cm/s2
|
d.
|
-15 cm/s2
|
e.
|
-13 cm/s2
|
ANS: A PTS: 2 DIF: Average
14. An automobile moving along a straight track
changes its velocity from 40 m/s to 80 m/s in a distance of 200 m. What is the
(constant) acceleration of the vehicle during this time?
a.
|
8.0 m/s
|
b.
|
9.6 m/s
|
c.
|
12 m/s
|
d.
|
6.9 m/s
|
e.
|
0.20 m/s
|
ANS: C PTS: 2 DIF: Average
15. In 2.0 s, a particle moving with constant
acceleration along the x axis goes from x = 10 m to x = 50
m. The velocity at the end of this time interval is 10 m/s. What is the acceleration
of the particle?
a.
|
+15 m/s2
|
b.
|
+20 m/s2
|
c.
|
-20 m/s2
|
d.
|
-10 m/s2
|
e.
|
-15 m/s2
|
ANS: D PTS: 2 DIF: Average
16. An automobile manufacturer claims that its
product will, starting from rest, travel 0.40 km in 9.0 s. What is the
magnitude of the constant acceleration required to do this?
a.
|
9.9 m/s2
|
b.
|
8.9 m/s2
|
c.
|
6.6 m/s2
|
d.
|
5.6 m/s2
|
e.
|
4.6 m/s2
|
ANS: A PTS: 2 DIF: Average
17. An automobile traveling along a straight road
increases its speed from 30.0 m/s to 50.0 m/s in a distance of 180 m. If the
acceleration is constant, how much time elapses while the auto moves this
distance?
a.
|
6.00 s
|
b.
|
4.50 s
|
c.
|
3.60 s
|
d.
|
4.00 s
|
e.
|
9.00 s
|
ANS: B PTS: 2 DIF: Average
18. An object moving on the x axis with a
constant acceleration increases its x coordinate by 80 m in a time of
5.0 s and has a velocity of +20 m/s at the end of this time. Determine the
acceleration of the object during this motion.
a.
|
-1.6 m/s2
|
b.
|
+6.4 m/s2
|
c.
|
+1.6 m/s2
|
d.
|
-2.0 m/s2
|
e.
|
-6.4 m/s2
|
ANS: C PTS: 2 DIF: Average
19. An electron, starting from rest and moving
with a constant acceleration, travels 2.0 cm in 5.0 ms. What is the magnitude
of this acceleration?
a.
|
2.5 km/s2
|
b.
|
0.80 km/s2
|
c.
|
1.6 km/s2
|
d.
|
1.3 km/s2
|
e.
|
3.2 km/s2
|
ANS: C PTS: 1 DIF: Easy
20. A particle starts from rest at xi
= 0 and moves for 10 s with an acceleration of +2.0 cm/s2. For the
next 20 s, the acceleration of the particle is -1.0 cm/s2. What is the position
of the particle at the end of this motion?
a.
|
zero
|
b.
|
+3.0 m
|
c.
|
-1.0 m
|
d.
|
+2.0 m
|
e.
|
-3.0 m
|
ANS: B PTS: 2 DIF: Average
21. A rocket, initially at rest, is fired
vertically with an upward acceleration of 10 m/s2. At an altitude of
0.50 km, the engine of the rocket cuts off. What is the maximum altitude it
achieves?
a.
|
1.9 km
|
b.
|
1.3 km
|
c.
|
1.6 km
|
d.
|
1.0 km
|
e.
|
2.1 km
|
ANS: D PTS: 3 DIF: Challenging
22. A ball is thrown vertically upward with an
initial speed of 20 m/s. Two seconds later, a stone is thrown vertically (from
the same initial height as the ball) with an initial speed of 24 m/s. At what
height above the release point will the ball and stone pass each other?
a.
|
17 m
|
b.
|
21 m
|
c.
|
18 m
|
d.
|
27 m
|
e.
|
31 m
|
ANS: A PTS: 3 DIF: Challenging
23. An object is thrown vertically and has an
upward velocity of 18 m/s when it reaches one fourth of its maximum height
above its launch point. What is the initial (launch) speed of the object?
a.
|
35 m/s
|
b.
|
25 m/s
|
c.
|
30 m/s
|
d.
|
21 m/s
|
e.
|
17 m/s
|
ANS: D PTS: 3 DIF: Challenging
24. A stone is thrown from the top of a building
with an initial velocity of 20 m/s downward. The top of the building is 60 m
above the ground. How much time elapses between the instant of release and the
instant of impact with the ground?
a.
|
2.0 s
|
b.
|
6.1 s
|
c.
|
3.5 s
|
d.
|
1.6 s
|
e.
|
1.0 s
|
ANS: A PTS: 2 DIF: Average
25. An object is thrown downward with an initial
(t = 0) speed of 10 m/s from a height of 60 m above the ground. At the
same instant (t = 0), a second object is propelled vertically upward
from ground level with a speed of 40 m/s. At what height above the ground will
the two objects pass each other?
a.
|
53 m
|
b.
|
41 m
|
c.
|
57 m
|
d.
|
46 m
|
e.
|
37 m
|
ANS: B PTS: 3 DIF: Challenging
26. A toy rocket, launched from the ground, rises
vertically with an acceleration of 20 m/s2 for 6.0 s until its motor
stops. Disregarding any air resistance, what maximum height above the ground
will the rocket achieve?
a.
|
1.1 km
|
b.
|
0.73 km
|
c.
|
1.9 km
|
d.
|
0.39 km
|
e.
|
1.5 km
|
ANS: A PTS: 3 DIF: Challenging
27. A rock is thrown downward from an unknown
height above the ground with an initial speed of 10 m/s. It strikes the ground
3.0 s later. Determine the initial height of the rock above the ground.
a.
|
44 m
|
b.
|
14 m
|
c.
|
74 m
|
d.
|
30 m
|
e.
|
60 m
|
ANS: C PTS: 2 DIF: Average
28. A ball thrown vertically from ground level is
caught 3.0 s later when it is at its highest point by a person on a balcony
which is 14 m above the ground. Determine the initial speed of the ball.
a.
|
19 m/s
|
b.
|
4.7 m/s
|
c.
|
10 m/s
|
d.
|
34 m/s
|
e.
|
17 m/s
|
ANS: A PTS: 2 DIF: Average
29. An object is thrown vertically upward such
that it has a speed of 25 m/s when it reaches two thirds of its maximum height
above the launch point. Determine this maximum height.
a.
|
64 m
|
b.
|
48 m
|
c.
|
32 m
|
d.
|
96 m
|
e.
|
75 m
|
ANS: D PTS: 2 DIF: Average
30. The velocity at the midway point of a ball
able to reach a height y when thrown with velocity vi
at the origin is:
a.
|
|
b.
|
|
c.
|
|
d.
|
|
e.
|
gy
|
ANS: C PTS: 2 DIF: Average
31. When Jim and Rob ride bicycles, Jim can only
accelerate at three quarters the acceleration of Rob. Both start from rest at
the bottom of a long straight road with constant upward slope. If Rob takes 5.0
minutes to reach the top, how much earlier should Jim start to reach the top at
the same time as Rob?
a.
|
25 s
|
b.
|
40 s
|
c.
|
46 s
|
d.
|
55 s
|
e.
|
75 s
|
ANS: C PTS: 3 DIF: Challenging
32. When starting from rest at the bottom of a
straight road with constant upward slope, Joan bicycles to the top 50.0 s ahead
of Sally, whose travel time is 5.00 minutes. What is the ratio of Joan's
acceleration to Sally's acceleration?
a.
|
0.694
|
b.
|
0.833
|
c.
|
1.20
|
d.
|
1.44
|
e.
|
6.00
|
ANS: D PTS: 2 DIF: Average
33. To help Kim practice for the Special
Olympics, Sally runs beside him for half the required distance. She runs the
remaining distance at her regular speed and arrives 90 seconds ahead of Kim.
What is the ratio of Sally's regular speed to Kim's speed? Use tKim
for Kim's total time.
a.
|
|
b.
|
|
c.
|
|
d.
|
|
e.
|
|
ANS: C PTS: 2 DIF: Average
34. The position of a particle moving along the y
axis has a position given by
Is there any time interval during which the particle is not moving?
a.
|
Yes, from 0.60 s to 1.00 s.
|
b.
|
Yes, from 0.795 s to 0.805 s.
|
c.
|
Yes, at the time t = 0.80 s.
|
d.
|
No, the velocity is never zero.
|
e.
|
No, an instant is not the same as a time interval.
|
ANS: E PTS: 1 DIF: Easy
35. A particle moving along the x axis has
a position given by x = 54t - 2.0t3 m. At the time t
= 3.0 s, the speed of the particle is zero. Which statement is correct?
a.
|
The particle remains at rest after t = 3.0 s.
|
b.
|
The particle no longer accelerates after t = 3.0 s.
|
c.
|
The particle can be found at positions x < 0 m only when t
< 0 s.
|
d.
|
All of the above are correct.
|
e.
|
None of the above is correct.
|
ANS: E PTS: 2 DIF: Average
36. Two identical balls are at rest side by side
at the bottom of a hill. Some time after ball A is kicked up the hill, ball B
is given a kick up the hill. Ball A is headed downhill when it passes ball B
headed up the hill. At the instant when ball A passes ball B,
a.
|
it has the same position and velocity as ball B.
|
b.
|
it has the same position and acceleration as ball B.
|
c.
|
it has the same velocity and acceleration as ball B.
|
d.
|
it has the same displacement and velocity as ball B.
|
e.
|
it has the same position, displacement and velocity as ball B.
|
ANS: B PTS: 1 DIF: Easy
37. The position of an object at equal time
intervals is shown below:
Which graph below correctly represents position versus time for this
object?
a.
|
|
c.
|
|
e.
|
|
b.
|
|
d.
|
|
ANS: E PTS: 1 DIF: Easy
38. Two identical balls are at rest and side by
side at the top of a hill. You let one ball, A, start rolling down the hill. A
little later you start the second ball, B, down the hill by giving it a shove.
The second ball rolls down the hill along a line parallel to the path of the
first ball and passes it. At the instant ball B passes ball A:
a.
|
it has the same position and the same velocity as A.
|
b.
|
it has the same position and the same acceleration as A.
|
c.
|
it has the same velocity and the same acceleration as A.
|
d.
|
it has the same displacement and the same velocity as A.
|
e.
|
it has the same position, displacement and velocity as A.
|
ANS: B PTS: 2 DIF: Average
39. The graph below shows the velocity versus
time graph for a ball. Which explanation best fits the motion of the ball as
shown by the graph?
a.
|
The ball is falling, is caught, and is thrown down with greater
velocity.
|
b.
|
The ball is rolling, stops, and then continues rolling.
|
c.
|
The ball is rising, hits the ceiling, and falls down.
|
d.
|
The ball is falling, hits the floor, and bounces up.
|
e.
|
The ball is rising, is caught, and then is thrown down.
|
ANS: C PTS: 1 DIF: Easy
40. A boy on a skate board skates off a
horizontal bench at a velocity of 10 m/s. One tenth of a second after he leaves
the bench, to two significant figures, the magnitudes of his velocity and
acceleration are:
a.
|
10 m/s; 9.8 m/s2.
|
b.
|
9.0 m/s; 9.8 m/s2.
|
c.
|
9.0 m/s; 9.0 m/s2.
|
d.
|
1.0 m/s; 9.0 m/s2.
|
e.
|
1.0 m/s; 9.8 m/s2.
|
ANS: A PTS: 1 DIF: Easy
41. Five motion diagrams in which points
represent the positions of an object at equal time intervals are shown below.
Which statement is correct?
a.
|
A has the greatest speed and the greatest acceleration.
|
b.
|
C has decreasing speed.
|
c.
|
D slows down and then speeds up.
|
d.
|
D speeds up and then slows down.
|
e.
|
E has a greater speed than A.
|
ANS: D PTS: 2 DIF: Average
42. Two children start at one end of a street,
the origin, run to the other end, then head back. On the way back Joan is ahead
of Mike. Which statement is correct about the distances run and the
displacements from the origin?
a.
|
Joan has run a greater distance and her displacement is greater than
Mike's.
|
b.
|
Mike has run a greater distance and his displacement is greater than
Joan's.
|
c.
|
Joan has run a greater distance, but her displacement is less than
Mike's.
|
d.
|
Mike has run a greater distance, but his displacement is less than
Joan's.
|
e.
|
Mike has run a shorter distance, and his displacement is less than
Joan's.
|
ANS: C PTS: 1 DIF: Easy
43. A juggler throws two balls to the same height
so that one is at the halfway point going up when the other is at the halfway
point coming down. At that point:
a.
|
Their velocities and accelerations are equal.
|
b.
|
Their velocities are equal but their accelerations are equal and
opposite.
|
c.
|
Their accelerations are equal but their velocities are equal and
opposite.
|
d.
|
Their velocities and accelerations are both equal and opposite.
|
e.
|
Their velocities are equal to their accelerations.
|
ANS: C PTS: 1 DIF: Easy
44. A car travels north at 30 m/s for one half
hour. It then travels south at 40 m/s for 15 minutes. The total distance the
car has traveled and its displacement are:
a.
|
18 km; 18 km S.
|
b.
|
36 km; 36 km S.
|
c.
|
36 km; 36 km N.
|
d.
|
90 km; 18 km N.
|
e.
|
90 km; 36 km N.
|
ANS: D PTS: 2 DIF: Average
45. A skier leaves a ski jump with a horizontal
velocity of 29.4 m/s. The instant before she lands three seconds later, the
magnitudes of the horizontal and vertical components of her velocity are:
a.
|
0; 29.4 m/s.
|
b.
|
29.4 m/s; 0.
|
c.
|
29.4 m/s; 29.4 m/s.
|
d.
|
29.4 m/s; 41.6 m/s.
|
e.
|
41.6 m/s; 41.6 m/s.
|
ANS: C PTS: 2 DIF: Average
46. The equation that solves a problem is . The problem is:
a.
|
What is the initial velocity of a car that goes from rest to 18 m/s in
3.0 s?
|
b.
|
What is the final velocity of a car that goes from rest to 18 m/s in
3.0 s?
|
c.
|
What is the initial velocity of a car that accelerates at 18 m/s for
3.0 s?
|
d.
|
What is the final velocity of a car that accelerates at 3.0 m/s2
over a 6.0 m distance?
|
e.
|
What is the final velocity of a car that accelerates at 3.0 m/s2
over a 3.0 m distance?
|
ANS: E PTS: 2 DIF: Average
47. The equation that solves a problem is . The problem is:
a.
|
How far above its initial position does a rock travel in 2.0 s when
thrown up from a point 40 m above the ground?
|
b.
|
How far below its initial position does a rock travel in 2.0 s when
thrown up from a point 40 m above the ground?
|
c.
|
What is the position relative to the ground of a rock thrown up at 3.0
m/s from a roof 20 m above the ground 2.0 s after it is released?
|
d.
|
What is the change in position relative to the ground of a rock thrown
up at 3.0 m/s from a roof 20 m above the ground 2.0 s after it is released?
|
e.
|
What is the position relative to the ground of a rock thrown up at 3.0
m/s from a roof 20 m above the ground if its maximum height is 33.6 m?
|
ANS: C PTS: 2 DIF: Average
48. Dallas says that any change in velocity is
directly proportional to the time interval over which the change took place.
Dana says that is true only when the acceleration is constant. Which one, if
either, is correct?
a.
|
Dana, because it is true only when the acceleration is
constant.
|
b.
|
Dallas, because we can define ax, avg so
that Dvx = ax, avgDt.
|
c.
|
Dallas, because ax, avg always is equal
to .
|
d.
|
All the above are correct.
|
e.
|
Only (a) and (b) above are correct.
|
ANS: A PTS: 2 DIF: Average
49. The area under a graph of vx
vs. t from t = ti to t = tf
represents
a.
|
xi.
|
b.
|
xf.
|
c.
|
xf - xi.
|
d.
|
(xi
+ xf).
|
e.
|
xi + xf.
|
ANS: C PTS: 1 DIF: Easy
50. The area under a graph of ax
vs. t from t = ti to t = tf
represents
a.
|
xf - xi.
|
b.
|
vf - vi.
|
c.
|
xavg.
|
d.
|
vavg.
|
e.
|
aavg.
|
ANS: B PTS: 1 DIF: Easy
51. In 20 minutes, Kara ran 2.40 km on a
treadmill facing due east. Relative to the gym, what were her displacement and
average velocity during this time interval?
a.
|
0; 0
|
b.
|
0; 2.00 m/s
|
c.
|
2.40 km, east; 0
|
d.
|
2.40 km, east; 2.00 m/s, east
|
e.
|
2.40 km, west; 2.00 m/s, west
|
ANS: A PTS: 1 DIF: Easy
52. A swimmer swims 20 laps in a north-south
facing pool in 7.00 minutes. Her first lap is toward the north. Her
displacement and average velocity are
a.
|
0; 0.
|
b.
|
0; 2.38 m/s, south.
|
c.
|
0; 2.38 m/s, north.
|
d.
|
1 000 m, south; 2.38 m/s, south.
|
e.
|
1 000 m, north; 2.38 m/s, north.
|
ANS: A PTS: 1 DIF: Easy
53. Driver A is cruising along enjoying the fall
colors. Driver B starts her car at the instant he passes her. Their velocities
are shown as functions of time in the graph below. At what instants in time on
the graph are drivers A and B side by side?
a.
|
0 s, 2 s
|
b.
|
0 s, 4 s
|
c.
|
2 s, 4 s
|
d.
|
2 s, 6 s
|
e.
|
4 s, 6 s
|
ANS: D PTS: 2 DIF: Average
54. Cart A, of mass m, starts from rest
and travels in a straight line with acceleration a. It traverses a
distance x in time t. Cart B, of mass 4m, starts from rest
and travels in a straight line with acceleration . At time t it has traversed
the distance
a.
|
.
|
b.
|
.
|
c.
|
x.
|
d.
|
2x.
|
e.
|
4x.
|
ANS: B PTS: 2 DIF: Average
55. Cart A, of mass m, starts from rest
and travels in a straight line with acceleration a. It reaches velocity v
in time t. Cart B, of mass 4m, starts from rest and travels in a
straight line with acceleration . At time t it has reached
velocity
a.
|
.
|
b.
|
.
|
c.
|
v.
|
d.
|
2v.
|
e.
|
4v.
|
ANS: B PTS: 2 DIF: Average
56. The small circles in the diagram below
represent the positions along the x axis of a body at equal time
intervals. Assume the body moves in a straight line.
This diagram is most likely to describe
a.
|
a swimmer swimming laps.
|
b.
|
an exercise on a rowing machine.
|
c.
|
a person on a treadmill.
|
d.
|
a tennis ball during a volley.
|
e.
|
a runner who tripped, fell, rose, and continued racing.
|
ANS: E PTS: 2 DIF: Average
57. A problem may be solved more easily when
alternative representations are used. The best strategy is to formulate
representations in an order that assists in understanding the physical
principles involved. Of the orders given below, the one that will work best
most often is
a.
|
pictorial representation, mathematical representation, tabular
representation, mental representation.
|
b.
|
pictorial representation, mental representation, mathematical
representation, tabular representation.
|
c.
|
mathematical representation, pictorial representation, tabular
representation, mental representation.
|
d.
|
mathematical representation, tabular representation, mental
representation, pictorial representation.
|
e.
|
mental representation, pictorial representation, tabular
representation, mathematical representation.
|
ANS: E PTS: 1 DIF: Easy
58. The speed of an object is given by where v is in m/s and t is in
s.What is the acceleration of the object at t = 2.00 s?
a.
|
5.00 m/s2
|
b.
|
9.00 m/s2
|
c.
|
10.0 m/s2
|
d.
|
14.0 m/s2
|
e.
|
20.0 m/s2
|
ANS: E PTS: 2 DIF: Average
59. A particle is moving at constant velocity.
Its position at t = 1.0 s is 3.0 m and its position at t = 4.0 s
is 15.0 m. What is the slope of the position-time graph for this particle?
a.
|
0, since this is a constant velocity situation.
|
b.
|
4.0 m/s
|
c.
|
4.0 m/s2
|
d.
|
9.0 m/s
|
e.
|
12 m/s2
|
ANS: B PTS: 2 DIF: Average
60. A particle is moving with a constant
acceleration of 4.0 m/s2. Its speed at t = 1.0 s is 4.0 m/s
and at t = 3.0 s it is 12.0 m/s. What is the area under the
position-time graph for the interval from t = 1.0 s to t = 3.0 s?
a.
|
8.0 m/s
|
b.
|
8.0 m
|
c.
|
12 m
|
d.
|
16 m
|
e.
|
16 m/s2
|
ANS: D PTS: 2 DIF: Average
PROBLEM
61. A 50-gram superball traveling at 25.0 m/s is
bounced off a brick wall and rebounds at 22.0 m/s. A high-speed camera records
this event. If the ball is in contact with the wall for 3.50 ms, what is the
average acceleration of the ball during this time interval?
ANS:
13 400 m/s2
PTS: 2 DIF: Average
62. A boat moves at 10.0 m/s relative to the
water. If the boat is in a river where the current is 2.0 m/s, how long does it
take the boat to make a complete round trip of 1.00 km upstream followed by a
1.00 km trip downstream?
ANS:
208 s
PTS: 2 DIF: Average
63. A bicyclist starts down a hill with an
initial speed of 2.0 m/s. She moves down the hill with a constant acceleration,
arriving at the bottom of the hill with a speed of 8.0 m/s. If the hill is 12 m
long, how long did it take the bicyclist to travel down the hill?
ANS:
2.4 s
PTS: 2 DIF: Average
64. A helicopter descends from a height of 600 m
with uniform negative acceleration, reaching the ground at rest in 5.00
minutes. Determine the acceleration of the helicopter and its initial velocity.
ANS:
-0.013 3 m/s2, -4.0 m/s
PTS: 2 DIF: Average
65. A speedy tortoise can run with a velocity of
10.0 cm/s and a hare can run 20.0 times as fast. In a race, they both start at
the same time, but the hare stops to rest for 2.00 minutes. The tortoise wins
by a shell (20.0 cm). What was the length of the race?
ANS:
12.6 m
PTS: 3 DIF: Challenging
66. A peregrine falcon dives at a pigeon. The
falcon starts with zero downward velocity and falls with the acceleration of
gravity. If the pigeon is 76.0 m below the initial height of the falcon, how
long does it take the falcon to intercept the pigeon?
ANS:
3.94 s
PTS: 2 DIF: Average
67. Starting from rest, a car travels 1 350
meters in 1.00 minute. It accelerated at 1.0 m/s2 until it reached
its cruising speed. Then it drove the remaining distance at constant velocity.
What was its cruising speed?
ANS:
30 m/s
PTS: 3 DIF: Challenging
68. A car originally traveling at 30 m/s manages
to brake for 5.0 seconds while traveling 125 m downhill. At that point the brakes
fail. After an additional 5.0 seconds it travels an additional 150 m down the
hill. What was the acceleration of the car after the brakes failed?
ANS:
4.0 m/s2
PTS: 2 DIF: Average
But how to solve solution 34 and 32?
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