a.
To calculate: The velocity and time at time
a.
Answer to Problem 13E
The velocity is
Explanation of Solution
Concept used:
Differentiate the position with respect to
Given information:
The position function is
Calculation:
The function is
Differentiate the position
The velocity is
Differentiate the velocity
The acceleration is
Conclusion: So, the velocity is
b.
To calculate: The time taken to reach the highest point of the rock.
b.
Answer to Problem 13E
The time is
Explanation of Solution
Given information:
The position function is
Calculation:
The function is
Differentiate the position
The velocity is
To get the time to reach the highest point of the rock ,equate the velocity in terms of
Conclusion: So, the time is
c.
To calculate: The maximum height which the rock has reached.
c.
Answer to Problem 13E
The maximum height is
Explanation of Solution
Concept used:
The formula is
Given information:
The position function is
Calculation:
The time taken by the rock to reach the maximum height is
Substitute
Conclusion: So, the maximum height is
d.
To calculate: The time taken to cover half of maximum height reached by the rock..
d.
Answer to Problem 13E
The time taken is
Explanation of Solution
Given information:
The position function is
Concept used:
The
Calculation:
The maximum height is
So half of the maximum height is
Substitute
Solve further.
The time cannot be
Conclusion: So, the time is
e.
To calculate: The time when the rock was in the air.
e.
Answer to Problem 13E
The time is
Explanation of Solution
Given information:
The position function is
Calculation:
Equate the position function
Conclusion: So, the time the rock was in the air is
Chapter 2 Solutions
CALCULUS-W/XL ACCESS
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