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Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford
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Solved: A gazelle is running in a straight line (the

Chapter 2, Problem 67P

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QUESTION:

A gazelle is running in a straight line (the \(x \text {-axis }\)). The graph in Fig. P2.67 shows this animal’s velocity as a function of time. During the first 12.0 s, find

(a) the total distance moved and

(b) the displacement of the gazelle.

(c) Sketch an \(\alpha_{x}-t\) graph showing this gazelle’s acceleration as a function of time for the first 12.0 s.

Equation Transcription:

 

Text Transcription:

x-axis

a_x-t

Questions & Answers

QUESTION:

A gazelle is running in a straight line (the \(x \text {-axis }\)). The graph in Fig. P2.67 shows this animal’s velocity as a function of time. During the first 12.0 s, find

(a) the total distance moved and

(b) the displacement of the gazelle.

(c) Sketch an \(\alpha_{x}-t\) graph showing this gazelle’s acceleration as a function of time for the first 12.0 s.

Equation Transcription:

 

Text Transcription:

x-axis

a_x-t

ANSWER:

Step 1 of 2

Part A

Area under the v-t graph gives us the total distance covered. Thus in the given graph the total area is given by:

d =

d = 40+12+40

d = 90m

So the total distance is 90m

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