Solution Found!
(III) Mary and Sally are in a foot race (Fig. 2–39). When
Chapter 2, Problem 37P(choose chapter or problem)
(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,