# The expression for the instantaneous velocity in terms of the graph of f.

BuyFind

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 2, Problem 10RCC
To determine

Expert Solution

## Answer to Problem 10RCC

The instantaneous velocity of the function of f(t) at t=a is limtaf(t)f(a)ta.

### Explanation of Solution

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.

Known fact the slope of the function at t=a is equal to the derivative of the function at t=a.

Therefore, The instantaneous velocity of the function of f(t) at t=a is

limtaf(t)f(a)ta.

Velocity is slope of tangent to the position curve.

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!