(III) Mary and Sally are in a foot race (Fig. 2–39). When

Chapter 2, Problem 37P

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QUESTION:

(III) Mary and Sally are in a foot race (Fig. 2–39). When Mary is 22 m from the finish line, she has a speed of \(4.0\mathrm{\ m}/\mathrm{s}\) and is \(5.0\mathrm{\ m}/\mathrm{s}\) behind Sally, who has a speed of \(5.0\mathrm{\ m}/\mathrm{s}\). Sally thinks she has an easy win and so, during the remaining portion of the race, decelerates at a constant rate \(0.40\mathrm{\ m}/\mathrm{s}^2\) of to the finish line. What constant acceleration does Mary now need during the remaining portion of the race, if she wishes to cross the finish line side-by-side with Sally?

Equation Transcription:

Text Transcription:

4.0 m/s

5.0 m/s

0.40 m/s2

4.0 m/s

5.0 m/s

Questions & Answers

QUESTION:

(III) Mary and Sally are in a foot race (Fig. 2–39). When Mary is 22 m from the finish line, she has a speed of \(4.0\mathrm{\ m}/\mathrm{s}\) and is \(5.0\mathrm{\ m}/\mathrm{s}\) behind Sally, who has a speed of \(5.0\mathrm{\ m}/\mathrm{s}\). Sally thinks she has an easy win and so, during the remaining portion of the race, decelerates at a constant rate \(0.40\mathrm{\ m}/\mathrm{s}^2\) of to the finish line. What constant acceleration does Mary now need during the remaining portion of the race, if she wishes to cross the finish line side-by-side with Sally?

Equation Transcription:

Text Transcription:

4.0 m/s

5.0 m/s

0.40 m/s2

4.0 m/s

5.0 m/s

ANSWER:

Step 1 of 2

Distance of Mary from finish line:

Distance of Sally from the finish line

Initial Speed of Mary

Initial speed of Sally

Deceleration of Sally

We will calculate the time taken by Sally to reach the finish line,

                               

                               

                               

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