   Chapter 2.2, Problem 63E

Chapter
Section
Textbook Problem

Nick starts jogging and runs faster and faster for 3 mintues, then he walks for 5 minutes. He stops at an intersection for 2 minutes, runs fairly quickly for 5 minutes, then walks for 4 minutes.(a) Sketch a possible graph of the distance s Nick has covered after t minutes.(b) Sketch a graph of d s / d t .

To determine

(a)

To sketch:

Graph of the distance s covered by Nick after time t.

Explanation

As Nick start jogging and run faster and faster for 3 minutes so it traces parabolic curve, then for next 5 minutes Graph is linearly increasing between 3 minutes to 8 minutes. He stops at an intersection for two minutes so graph is constant between 8 minutes to 10 minutes...

To determine

(b)

To sketch:

Graph of ds/dt.

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