   Chapter 2, Problem 11RCC

Chapter
Section
Textbook Problem

Suppose an object moves along a straight line ,with position f(t) at time t. Write an expression for the instantaneous velocity of the object at time t = a. How can you interpret this velocity in terms of the graph of f?

To determine

To find: The expression for the instantaneous velocity in terms of the graph of f.

Explanation

Graph:

Calculation:

The instantaneous velocity of the function of f(t) is the derivative of the function f(t)

From the graph the slope of the straight line at t=a is f(t)f(a)ta

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