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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

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BuyFindarrow_forward

Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem

Graphs of the velocity functions of two particles are shown, where t is measured in seconds. When is each particle speeding up? When is it slowing down? Explain.

Chapter 2.7, Problem 5E, Graphs of the velocity functions of two particles are shown, where t is measured in seconds. When is

To determine

Part (a)

To explain: When is each particle speeding up and speeding down

Explanation

Acceleration is rate of change of velocity with respect to time that is acceleration is the derivative of velocity of the particle.

From the above graph velocity is positive on the interval (0, 2) and is negative on the interval (2, 3).

Acceleration is positive on the interval (0, 1) since slope of the graph is positive.

And negative on the interval (1, 3) since slope of the graph is negative

To determine

Part (b)

To explain: When is each particle speeding up and speeding down

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