To calculate: Find (a) The instantaneous velocity at any time t.
(b) The acceleration of the particle at any time t.
(c) The time when particle at rest.
(d) The motion of particle and find value of t such that particle will
Change the direction.
Answer to Problem 22E
The correct answer is (a)
(b)
(c) At
(d) At
Explanation of Solution
Given information: In this question, a particle moves along a line and its position at any time t is given,
Formula used: We know that, Instantaneous velocity is
Calculation:
(a) For instantaneous velocity,
(b) For instantaneous acceleration,
(c) For finding the time, where particle at rest, means we will equate
Here at
(d) For finding the time, where velocity of particle changes the direction means
Here at
Velocity v/s time
Thus, the correct answer is (a)
(b)
(c) At
(d) At
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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