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Chapter 2
Motion in One Dimension
Quick Quizzes
1.
(a)
200 yd
(b)
0
(c)
0
2.
(a)
False. The car may be slowing down, so that the direction of its acceleration is
opposite the direction of its velocity.
(b)
True. If the velocity is in the direction chosen as negative, a positive acceleration
causes a decrease in speed.
(c)
True. For an accelerating particle to stop at all, the velocity and acceleration must
have opposite signs, so that the speed is decreasing. If this is the case, the particle will
eventually come to rest. If the acceleration remains constant, however, the particle
must begin to move again, opposite to the direction of its original velocity. If the
particle comes to rest and then stays at rest, the acceleration has become zero at the
moment the motion stops. This is the case for a braking car—the acceleration is
negative and goes to zero as the car comes to rest.
3.
The velocityvs.time graph (a) has a constant slope, indicating a constant acceleration,
which is represented by the accelerationvs.time graph (e).
Graph (b) represents an object whose speed always increases, and does so at an ever
increasing rate. Thus, the acceleration must be increasing, and the accelerationvs.time
graph that best indicates this behavior is (d).
Graph (c) depicts an object which first has a velocity that increases at a constant rate,
which means that the object’s acceleration is constant. The motion then changes to one at
constant speed, indicating that the acceleration of the object becomes zero. Thus, the best
match
to this situation is graph (f).
4.
(b). According to
graph b
, there are some instants in time when the object is simultaneously
at two different xcoordinates. This is physically impossible.
5.
(a)
The
blue graph
of Figure 2.14b best shows the puck’s position as a function of time. As
seen in Figure 2.14a, the distance the puck has traveled grows at an increasing rate for
approximately three time intervals, grows at a steady rate for about four time
intervals, and then grows at a diminishing rate for the last two intervals.
(b)
The
red graph
of Figure 2.14c best illustrates the speed (distance traveled per time
interval) of the puck as a function of time. It shows the puck gaining speed for
approximately three time intervals, moving at constant speed for about four time
intervals, then slowing to rest during the last two intervals.
17
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CHA
P
T
E
R
2
(c)
The
green graph
of Figure 2.14d best shows the puck’s acceleration as a function of
time. The puck gains velocity (positive acceleration) for approximately three time
intervals, moves at constant velocity (zero acceleration) for about four time intervals,
and then loses velocity (negative acceleration) for roughly the last two time intervals.
6.
(e). The acceleration of the ball remains constant while it is in the air. The magnitude of its
acceleration is the freefall acceleration,
g
= 9.80 m/s
2
.
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This note was uploaded on 04/08/2008 for the course PHY 101 taught by Professor Pralle during the Spring '08 term at SUNY Buffalo.
 Spring '08
 pralle
 Acceleration

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