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Physics / University Physics with Modern Physics (1) 14 / Chapter 2 / Problem 2.3

University Physics with Modern Physics (1) | 14th Edition | ISBN: 9780321973610 | Authors: Hugh D. Young Roger A. Freedman

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Solution: A cat walks in a straight line, which we shall

Chapter 2, Problem 2.3

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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 t = 4.0 s and at t = 7.0 s. (b) What is the cats acceleration at t = 3.0 s? At t = 6.0 s? At t = 7.0 s? (c) What distance does the cat move during the first 4.5 s? From t = 0 to t = 7.5 s? (d) Assuming that the cat started at the origin, sketch clear graphs of the cats acceleration and position as functions of time.

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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 t = 4.0 s and at t = 7.0 s. (b) What is the cats acceleration at t = 3.0 s? At t = 6.0 s? At t = 7.0 s? (c) What distance does the cat move during the first 4.5 s? From t = 0 to t = 7.5 s? (d) Assuming that the cat started at the origin, sketch clear graphs of the cats acceleration and position as functions of time.

ANSWER:

Step 1 of 8

Part (a)

The slope of the given graph shows the acceleration of the cat, and it is given by,

Here, v1 is the velocity at time t1, and v2 is the velocity at time t2.

For , , , and .

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