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Physics: Principles with Applications | 6th Edition | ISBN: 9780321569837 | Authors: Douglas C. Giancoli
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A runner hopes to complete the 10,000-m run in less than 30.0 min. After exactly 27.0

Chapter 2, Problem 31P

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QUESTION:

Problem 31P

A runner hopes to complete the 10,000-m run in less than 30.0 min. After exactly 27.0 min, there are still 1100 m to go. The runner must then accelerate at 0.20 m/s2 for how many seconds in order to achieve the desired time?

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QUESTION:

Problem 31P

A runner hopes to complete the 10,000-m run in less than 30.0 min. After exactly 27.0 min, there are still 1100 m to go. The runner must then accelerate at 0.20 m/s2 for how many seconds in order to achieve the desired time?

ANSWER:

Solution 31P

Step 1 of 2

We have to find for how many seconds the runner must accelerate at 0.20 m/s2 in order to achieve the desired time.

The runner must cover a distance of 1100 m in a time of 3 mins (180 s) during the final part of the race.

The starting speed for the final part of the race is same as the average speed of the runner in covering the first 8900 m in 27 min.

 

Average speed () =

                             =

                       

                              = 5.49 m/s

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