Solved: The accompanying graph shows the total distance s

Chapter 2, Problem 21E

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QUESTION:

The accompanying graph shows the total distance \(s\) traveled by a bicyclist after \(t\) hours.

                       

a. Estimate the bicyclist's average speed over the time intervals [0, 1], [1, 2.5], and [2.5, 3.5]


b. Estimate the bicyclist's instantaneous speed at the times
 \(t=\frac{1}{2}\), \(t=2\), and \(t=3\).


c. Estimate the bicyclist's maximum speed and the specific time at which it occurs.

Equation Transcription:

Text Transcription:

s

t

t = 1/2

t=2

t=3

Questions & Answers

QUESTION:

The accompanying graph shows the total distance \(s\) traveled by a bicyclist after \(t\) hours.

                       

a. Estimate the bicyclist's average speed over the time intervals [0, 1], [1, 2.5], and [2.5, 3.5]


b. Estimate the bicyclist's instantaneous speed at the times
 \(t=\frac{1}{2}\), \(t=2\), and \(t=3\).


c. Estimate the bicyclist's maximum speed and the specific time at which it occurs.

Equation Transcription:

Text Transcription:

s

t

t = 1/2

t=2

t=3

ANSWER:

Solution:

Step 1 of 4

In this problem, we have given a graph which shows distance  traveled after time  hours


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