Concept explainers
The displacement (in meters) of a particle moving in a straight line is given by the equation of motion s = 1/t2, where t is measured in seconds. Find the velocity of the particle at times t = a, t = 1, t = 2, and t = 3.
To find: The velocity of the particle when
Answer to Problem 15E
The velocity of the particle at times
Explanation of Solution
Given:
The displacement (in meters) of a particle moving in a straight line is
Formula used:
The derivative
Calculation:
Obtain the velocity of the particle at
Take the position function
Simplify further and obtain the velocity as follows.
Cancel the common term h from both the numerator and the denominator,
Thus, the velocity of the particle at time
Obtain the velocity of the particle at time
Substitute
Thus, the velocity of the particle at time
Obtain the velocity of the particle at time
Substitute
Thus, the velocity of the particle at time
Obtain the velocity of the particle at time
Substitute
Thus, the velocity of the particle at time
Chapter 2 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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