a.
To calculate: The initial position.
a.
Answer to Problem 4QQ
The initial position is
Explanation of Solution
Given information:
The function is.
Calculation:
The function is
At the initial position the value of
Substitute
b.
To calculate: The initial velocity at
b.
Answer to Problem 4QQ
The velocity is
Explanation of Solution
Given information:
The function is.
Concept used:
The formula used is
Calculation:
The function is
Differentiate the function with respect to time
c.
To calculate: The time when the particle is moving right.
c.
Answer to Problem 4QQ
The particle move towards right when
Explanation of Solution
Given information:
The function is.
Concept used:
When velocity function is positive, then a particle will move right.
Calculation:
The function is
Differentiate the function with respect to time
Conclusion: The particle will move towards right when
d.
To calculate: The acceleration of the particle.
d.
Answer to Problem 4QQ
The acceleration of the particle is
Explanation of Solution
Given information:
The function is.
Concept used:
The formula used is
Calculation:
The function is
Differentiate the function with respect to time
Differentiate the velocity function with respect to time
Conclusion: So, the acceleration of the particle is
e.
To calculate: The speed of the particle when
e.
Answer to Problem 4QQ
The speed of the particle is
Explanation of Solution
Given information:
The function is.
Concept used:
The speed is always a positive value.
Calculation:
The function is
Substitute
Solve further.
Differentiate the function with respect to time
The speed of the particle is
The speed at
The speed at
Conclusion: The speed of the particle is
Chapter 2 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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