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College Physics | 12th Edition | ISBN: 9780321595492 | Authors: Randall D. Knight
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While running a marathon, a long-distance runner uses a

Chapter 2, Problem 16P

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QUESTION:

Problem 16P

While running a marathon, a long-distance runner uses a stopwatch to time herself over a distance of 100 m. She finds that she runs this distance in 18 s. Answer the following by considering ratios, without computing her velocity.

a. If she maintains her speed, how much time will it take her to run the next 400 m?

b. How long will it take her to run a mile at this speed?

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QUESTION:

Problem 16P

While running a marathon, a long-distance runner uses a stopwatch to time herself over a distance of 100 m. She finds that she runs this distance in 18 s. Answer the following by considering ratios, without computing her velocity.

a. If she maintains her speed, how much time will it take her to run the next 400 m?

b. How long will it take her to run a mile at this speed?

ANSWER:

Step 1 of 2

Part (a)

The ratio of distance covered to the time can be given as,

                                                                     

For , , ,

                                                                 

Thus, the time taken by runner to cover the distance is .

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