Concept explainers
(a)
The velocity of the particle when its position is
(a)
Answer to Problem 116P
The velocity of particle when its position is
Explanation of Solution
Given:
The acceleration of the particle is given by
The velocity is
Formula used:
Write the expression for the acceleration of the particle.
Here,
Multiply by
Substitute
Substitute,
Simplify above expressinon.
Calculation:
Substitute
Conclusion:
Thus, the velocity of particle when its position is
(b)
The time taken by the particle to travel from
(b)
Answer to Problem 116P
Time taken by the particle to travel from
Explanation of Solution
Given:
The acceleration of the particle is given by
The velocity is
Formula used:
Write the expression for the velocity of the particle.
Further, simplify for
Write the expression for the instantaneous velocity of the particle.
Rearrange the above expression for
Calculation:
Substitute
Substitute
Conclusion:
Thus, time taken by the particle to travel from
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Chapter 2 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning