Concept explainers
To evaluate: The Instantaneous velocity of the particle is given by the equation of motion
Answer to Problem 29E
The Instantaneous velocity of the particle moves in a straight line at
Explanation of Solution
Given:
The displacement of the particle
The times at which the particle moves is
Formula used:
Definition: The Instantaneous velocity is the rate of change of the function between two numbers
Calculation:
Use the definition of the Instantaneous velocity at
Further solve the above equation,
Now, apply the limit,
Thus, the Instantaneous velocity of the particle moves in the straight line at
Use the result of
Now, Substitute
Thus, the instantaneous velocity of the particle moves in the straight line at
Use the result of
Now, Substitute
Thus, the instantaneous velocity of the particle moves in the straight line at
Use the result of
Now, Substitute
Thus, the instantaneous velocity of the particle moves in the straight line at
Hence, the instantaneous velocity of the particle moves in a straight line at
Chapter 13 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning