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MasteringPhysics: Assignment Print View
Given Positions, Find Velocity and Acceleration
Learning Goal:
To understand how to graph position, velocity, and acceleration of an object
starting with a table of positions vs. time.
The table shows the
x
coordinate of a moving object. The position is tabulated at 1s intervals. The
x
coordinate is indicated below each time. You should make the simplification that the acceleration of
the object is bounded and contains no spikes.
time (s)
0
1
2
3
4
5
6
7
8
9
x
(m)
0
1
4
9
16
24
32
40
46
48
Part A
Which graph best represents the function x(t), describing the object's position vs. time?
ANSWER:
1
2
3
4
Part B
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View Full DocumentMasteringPhysics: Assignment Print View
Which of the following graphs best represents the function v(t), describing the object's velocity as
a function of time?
Part B.1
Part not displayed
Hint B.2
Hint not displayed
Part B.3
Part not displayed
Part B.4
Part not displayed
ANSWER:
1
2
3
4
Part C
Which of the following graphs best represents the function a(t), describing the acceleration of this
object?
Part C.1
Part not displayed
Part C.2
Part not displayed
Hint C.3
Hint not displayed
ANSWER:
1
2
3
4
A PSS is a problem solving strategy. They appear throughout the text. Pay serious attention to learning
how to apply the strategy to all of your homework problems. In particular, get in the habit of using
motion diagrams, and pictorial and graphical representations.
PSS 2.1: Can't Hit the Can!
MasteringPhysics: Assignment Print View
Learning Goal:
To practice ProblemSolving Strategy 2.1 for problems involving kinematics with
constant acceleration.
A car is traveling at a constant velocity of magnitude
when the driver notices a garbage can on
the road in front of him. At that moment, the distance between the garbage can and the front of the
car is
. A time
after noticing the garbage can, the driver applies the brakes and slows down at a
constant rate before coming to a halt just before the garbage can. What is the magnitude of the car's
acceleration after the brakes are applied?
MODEL:
Use the particle model. Make other appropriate simplifying assumptions.
VISUALIZE:
Use different representations of the information in the problem.
■
Draw a
motion diagram
. Motion diagrams are part of the physical representation.
■
Draw a
pictorial representation
. This helps you assess the information you are given and
starts the process of translating that information into mathematical symbols.
■
Use a
graphical representation
if appropriate for the problem.
■
Go back and forth between these three representations as needed.
SOLVE:
The mathematical representation is based on the three kinematic equations
,
,
and
.
■
Use
or
, as appropriate to the problem, rather than the generic
.
■
If necessary, replace subscripts i and f with numerical subscripts defined in the pictorial
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 Fall '07
 Whittaker

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