(a).
To find: The velocity of the particle at any time
(a).
Answer to Problem 81EP
The velocity is
Explanation of Solution
Given:
Concept Used:
Velocity is the derivative of the positive function with respect to time. At time
Calculation:
Conclusion:
The velocity is
b.
To calculate: The acceleration at
b.
Answer to Problem 81EP
The acceleration is
Explanation of Solution
Given:
Concept Used:
The acceleration is the derivative of velocity with respect to time. If velocity at time
Calculation:
Conclusion:
The acceleration is
c.
To calculate: All values of
c.
Answer to Problem 81EP
The value of
Explanation of Solution
Given:
Concept Used:
For the value of
Calculation:
Conclusion:
The value of
d.
Find the speed of the particle when its acceleration is zero
d.
Answer to Problem 81EP
The speed of the particle is
Explanation of Solution
Given:
Concept Used:
The acceleration is the derivative of velocity with respect to time. If velocity at time
Calculation:
Velocity at
Conclusion:
The speed of the particle is
e.
Find that if the particle moving toward the origin or away from the origin when
e.
Answer to Problem 81EP
The particle is moving towards origin.
Explanation of Solution
Given:
Concept Used:
Velocity is the derivative of the positive function with respect to time. At time
Calculation:
At
Conclusion:
At
Therefore, the particle is moving towards origin.
Chapter 2 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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