Glencoe Physics: Principles and Problems, Student Edition
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN: 9780078807213
Author: Paul W. Zitzewitz
Publisher: Glencoe/McGraw-Hill
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Question
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Chapter 3, Problem 82A
To determine

The velocity time graph of the each given graph.

Expert Solution & Answer
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Answer to Problem 82A

The velocity time graphs of the given position time graphs are shown in the figure (1), figure (2) and figure (3).

Explanation of Solution

Introduction:

The slope of the position graph describes the velocity of the object. It is same as the first derivative of the equation.

The first graph shows a equation of parabola. The first derivative of the equation of the parabola gives the straight line, so the graph of the velocity time graph becomes a graph of the straight line passing through the origin.

The velocity time graph of the first position time graph is given below in the figure (1).

  Glencoe Physics: Principles and Problems, Student Edition, Chapter 3, Problem 82A , additional homework tip  1

Figure (1)

The position time graph of the second graph shows a straight line. The derivative of the equation of straight line gives the constant slope along the time axis. The velocity time graph of the second position time graph is given below in the figure (2).

  Glencoe Physics: Principles and Problems, Student Edition, Chapter 3, Problem 82A , additional homework tip  2

Figure (2)

The velocity time graph of the third position time graph is given below in the figure (3).

  Glencoe Physics: Principles and Problems, Student Edition, Chapter 3, Problem 82A , additional homework tip  3

Figure (3)

Conclusion:

Thus, the velocity time graphs of the given position time graphs are shown in the figure (1), figure (2) and figure (3).

Chapter 3 Solutions

Glencoe Physics: Principles and Problems, Student Edition

Ch. 3.1 - Prob. 11SSCCh. 3.1 - Prob. 12SSCCh. 3.1 - Prob. 13SSCCh. 3.1 - Prob. 14SSCCh. 3.1 - Prob. 15SSCCh. 3.2 - Prob. 16PPCh. 3.2 - Prob. 17PPCh. 3.2 - Prob. 18PPCh. 3.2 - Prob. 19PPCh. 3.2 - Prob. 20PPCh. 3.2 - Prob. 21PPCh. 3.2 - Prob. 22PPCh. 3.2 - Prob. 23PPCh. 3.2 - Prob. 24PPCh. 3.2 - Prob. 25PPCh. 3.2 - Prob. 26PPCh. 3.2 - Prob. 27PPCh. 3.2 - Prob. 28PPCh. 3.2 - Prob. 29PPCh. 3.2 - Prob. 30PPCh. 3.2 - Prob. 31PPCh. 3.2 - Prob. 32PPCh. 3.2 - Prob. 33SSCCh. 3.2 - Prob. 34SSCCh. 3.2 - Prob. 35SSCCh. 3.2 - Prob. 36SSCCh. 3.2 - Prob. 37SSCCh. 3.2 - Prob. 38SSCCh. 3.2 - Prob. 39SSCCh. 3.2 - Prob. 40SSCCh. 3.3 - Prob. 41PPCh. 3.3 - Prob. 42PPCh. 3.3 - Prob. 43PPCh. 3.3 - Prob. 44PPCh. 3.3 - Prob. 45PPCh. 3.3 - Prob. 46PPCh. 3.3 - Prob. 47SSCCh. 3.3 - Prob. 48SSCCh. 3.3 - Prob. 49SSCCh. 3.3 - Prob. 50SSCCh. 3.3 - Prob. 51SSCCh. 3.3 - Prob. 52SSCCh. 3 - Prob. 53ACh. 3 - Prob. 54ACh. 3 - Prob. 55ACh. 3 - Prob. 56ACh. 3 - Prob. 57ACh. 3 - Prob. 58ACh. 3 - Prob. 59ACh. 3 - Prob. 60ACh. 3 - Prob. 61ACh. 3 - Prob. 62ACh. 3 - Prob. 63ACh. 3 - Prob. 64ACh. 3 - Prob. 65ACh. 3 - Prob. 66ACh. 3 - Prob. 67ACh. 3 - Prob. 68ACh. 3 - Prob. 69ACh. 3 - Prob. 70ACh. 3 - Prob. 71ACh. 3 - Prob. 72ACh. 3 - Prob. 73ACh. 3 - Prob. 74ACh. 3 - Prob. 75ACh. 3 - Prob. 76ACh. 3 - Prob. 77ACh. 3 - Prob. 78ACh. 3 - Prob. 79ACh. 3 - Prob. 80ACh. 3 - Prob. 81ACh. 3 - Prob. 82ACh. 3 - Prob. 83ACh. 3 - Prob. 84ACh. 3 - Prob. 85ACh. 3 - Prob. 86ACh. 3 - Prob. 87ACh. 3 - Prob. 88ACh. 3 - Prob. 89ACh. 3 - Prob. 90ACh. 3 - Prob. 91ACh. 3 - Prob. 92ACh. 3 - Prob. 93ACh. 3 - Prob. 94ACh. 3 - Prob. 95ACh. 3 - Prob. 96ACh. 3 - Prob. 97ACh. 3 - Prob. 98ACh. 3 - Prob. 100ACh. 3 - Prob. 101ACh. 3 - Prob. 102ACh. 3 - Prob. 103ACh. 3 - Prob. 104ACh. 3 - Prob. 105ACh. 3 - Prob. 1STPCh. 3 - Prob. 2STPCh. 3 - Prob. 3STPCh. 3 - Prob. 4STPCh. 3 - Prob. 5STPCh. 3 - Prob. 6STPCh. 3 - Prob. 7STPCh. 3 - Prob. 8STPCh. 3 - Prob. 9STPCh. 3 - Prob. 10STP
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