Physics 204A
FIRST EXAM Chapters 1  4
Spring 2006
1
Name:___________________________________
Solve the following problems in the space provided. Use the back of the page if needed. Each problem is
worth 20 points. You must
show your work in a logical fashion starting with the correctly applied
physical principles. The equations you need are on the equation sheet. Your score will be maximized if
your work is easy to follow because partial credit will be awarded.
1. A 300g cart initially at rest is given a
push to the right along a level track
beginning at t = 0s. The motion sensor
plots the velocity as a function of time as
shown in the graph at the right. Answer
the following questions. Be sure to
explain your answers for full credit.
(a)How much time elapses while the cart being pushed? How do you know?
According to the graph, the object is speeding up for about 1.0s, so this is the duration of the push.
(b)How far does the cart travel while being pushed? How do you know?
Using the definition of velocity,
v
"
dx
dt
# $
x
=
vdt
%
, the distance traveled must be the area under the
velocity vs. time curve.
"
x
#
1
2
(2.0)(1.0)
$
"
x
#
1.0
m
.
(c)What is the acceleration of the cart travel while being pushed? How do you know?
Using the definition of acceleration,
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 Fall '09
 Kagan
 Work, Velocity, initial speed, final position, Exam Chapters, cart travel

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