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# A graph of (t) is shown for a world-class track sprinter ISBN: 9780130606204 3

## Solution for problem 65PE Chapter 2

Physics: Principles with Applications | 6th Edition

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Problem 65PE

A grap?h? of? (?t) is shown for a world-class track sprinter in a 100-m race. (See Figure 2.67). (a) What is his average velocity for the first 4 s? (b) What is his instantaneous velo ? city a? = 5 s ? (c) What is his average acceleration between 0 and 4 s? (d) What is his time for the race?

Step-by-Step Solution:

Step-by-step solution 65PE Step 1 of 7 The average velocity is defined as the total dis covered by the body divided by the total ti it takes to cover that distance. Step 2 of 7 The time in seconds and corresponding velocity in m/s at that time tabulated from the graph is below, time (s ) v (m/s) 0 0 1 3 2 6 3 9 4 12 5 12 6 12 7 12 8 12 9 12 10 12 (a) Total displacement of the sprinter for first 4 s is the area under Velocity vs. Time graph for first 4 s. Step 3 of 7 The area under graph is the area of right angle triangle ABC. So, the displacement is, Substitute, 12 m/s for B C and 4 s for A C, The average velocity of the sprinter for first 4 s is, Substitute, 24 m for d and 4.0 s for t. Step 4 of 7 (b) The instantaneous velocity of the track sprinter at 5 s from the graph is

Step 5 of 7

Step 6 of 7

##### ISBN: 9780130606204

This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6. The full step-by-step solution to problem: 65PE from chapter: 2 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. This full solution covers the following key subjects: race, average, acceleration, class, figure. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. Since the solution to 65PE from 2 chapter was answered, more than 314 students have viewed the full step-by-step answer. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. The answer to “A grap?h? of? (?t) is shown for a world-class track sprinter in a 100-m race. (See Figure 2.67). (a) What is his average velocity for the first 4 s? (b) What is his instantaneous velo ? city a? = 5 s ? (c) What is his average acceleration between 0 and 4 s? (d) What is his time for the race?” is broken down into a number of easy to follow steps, and 61 words.

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