a.
To find : the time at which the particle’s velocity is zero.
a.
Answer to Problem 30E
The velocity is zero at
Explanation of Solution
Given information :
The graph of the position function of a particle moving along a line is given below
Calculation :
Since, the slope of the tangent to the curve gives velocity. Now, if the slope is zero than the velocity is also zero.
Now, from the given graph the slope is zero at approximately
Therefore, the velocity is zero at approximately
Hence,
The velocity is zero at approximately
b.
To find : the time at which the particle’s acceleration is zero.
b.
Answer to Problem 30E
The acceleration is zero at
Explanation of Solution
Given information :
The graph of the position function of a particle moving along a line is given below.
Calculation :
The point where the concavity of the graph changes is the point where acceleration is zero.
Since, the graph changes its concavity at
Therefore, the acceleration is zero at
Hence,
The acceleration is zero at
Chapter 5 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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