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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 2 / Problem 2.30

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 cat walks in a straight line, which we shall

Chapter 2, Problem 2.30

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QUESTION:

A cat walks in a straight line, which we shall call the x-axis with the positive direction to the right. As an observant physicist, you make measurements of this cats motion and construct a graph of the felines velocity as a function of time (Fig. E2.30). (a) Find the cats velocity at and at (b) What is the cats acceleration at At At (c) What distance does the cat move during the first 4.5 s? From to (d) Sketch clear graphs of the cats acceleration and position as functions of time, assuming that the cat started at the origin.

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QUESTION:

A cat walks in a straight line, which we shall call the x-axis with the positive direction to the right. As an observant physicist, you make measurements of this cats motion and construct a graph of the felines velocity as a function of time (Fig. E2.30). (a) Find the cats velocity at and at (b) What is the cats acceleration at At At (c) What distance does the cat move during the first 4.5 s? From to (d) Sketch clear graphs of the cats acceleration and position as functions of time, assuming that the cat started at the origin.

ANSWER:

Step 1 of 5

The slope of the graph of versus gives the acceleration .

The signs of and of indicate their directions.

(a) From the graph at , we can read speed to the positive direction, and at speed to the negative direction.

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