a.
To calculate: The value of time when the body reverses direction.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 11E
The value of time is
Explanation of Solution
Given information:
The graph of the velocity verses time
Calculation:
A body reverses when it changes its direction.
The point B and D are the points where the body reverses the direction
Conclusion: The time when body changes its direction are
b.
To find: The value of time when the velocity of the body is constant.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 11E
The value of time is
Explanation of Solution
Given information:
The graph of the velocity verses time
Calculation:
When the velocity of the body does not change its position with respect to time then it is said to be at constant velocity.
From point C to D the velocity of the body is not changing and the time at these points are
b.
To find: The value of time when the velocity of the body is constant.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 11E
The value of time is
Explanation of Solution
Given information:
The graph of the velocity verses time
Calculation:
When the velocity of the body does not change its position with respect to time then it is said to be at constant velocity.
From point C to D the velocity of the body is not changing and the time at these points are
c.
To plot: The graph of speed.
c.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given information:
The graph of the velocity verses time
Calculation:
The speed is always positive so the graph will be only in the positive
Graph of speed is as shown below.
d.
To plot: The graph of speed.
d.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given information:
The graph of the velocity verses time
Calculation:
Graph of acceleration is as shown below.
Chapter 2 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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