a.
To determine the time when the particle is moving to the right , to the left, and stopped.
a.
Answer to Problem 2E
The particle will move right when
The particle will move left when
The particle will stop when
Explanation of Solution
Given:
The function
Calculation:
For the particle to move right, the velocity of particle must be greater than
Therefore
For the particle to move left, the velocity of particle must be less than
Therefore
For the particle to stop , its velocity must be equal to
Therefore
b.
To find the particle’s displacement for the time interval
b.
Answer to Problem 2E
The displacement of particle is
Explanation of Solution
Given:
The function
Calculation:
The displacement of the particle
Hence, the displacement of particle is
Now , displacement = final position − initial position
Therefore, the final position of the is at
c.
To find the total distance traveled by the particle.
c.
Answer to Problem 2E
The total distance traveled by the particle is
Explanation of Solution
Given:
The function
Calculation:
The total distance traveled by the particle is given by
Therefore,
therefore , the total distance traveled by the particle is
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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