Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 11 - Section 11.4 - Introduction to Derrivatives - Exercise Set - Page 1175: 54

Answer

The instantaneous velocity of the object at any time t during its motion is given by $f'\left( t \right)=\underset{h\to 0}{\mathop{\lim }}\,\frac{f\left( t+h \right)-f\left( t \right)}{h}$.

Work Step by Step

If a function $f\left( t \right)$ expresses an object’s position in terms of time, then: find the derivative of that function with respect to time and that will give the instantaneous velocity of the object. Thus, the instantaneous velocity of the object at any time t during its motion is given by $f'\left( t \right)=\underset{h\to 0}{\mathop{\lim }}\,\frac{f\left( t+h \right)-f\left( t \right)}{h}$.
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