Can you answer #57? 57. A race Jean and Juan run a one-lap race on a circulartrack. Their angular positions on the track during the race aregiven by the functions e(t) and (t), respectively, where0≤t≤4 and t is measured in minutes (see figure). Theseangles are measured in radians, where 0 = p = 0 represent thestarting position and 0 == 27 represent the finish position.The angular velocities of the runners are e'(t) and p'(t).a. Compare in words the angular velocity of the tworunners and the progress of the race.b. Which runner has the greater average angular velocity?c. Who wins the race?d. Jean's position is given by e(t) = n²/8. What is herangular velocity at t = 2 and at what time is her angularvelocity the greatest?e. Juan's position is given by (t) = πt(8−t) / 8. What is hisangular velocity at 1=2 and at what time is his angulart=velocity the greatest?

Answered: Image /qna-images/answer/e7d4f11b-ec0b-45c4-8a7b-9d5010611a72.jpg

57. A race Jean and Juan run a one-lap race on a circular track. Their angular positions on the track during the race are given by the functions e(t) and ø(1), respectively, where 0≤t≤4 and t is measured in minutes (see figure). These angles are measured in radians, where 0 = p = 0 represent the starting position and 0 = = 2 represent the finish position. The angular velocities of the runners are o'(t) and p'(t). a. Compare in words the angular velocity of the two runners and the progress of the race. b. Which runner has the greater average angular velocity? c. Who wins the race? d. Jean's position is given by e(t) = n²/8. What is her angular velocity at = 2 and at what time is her angular velocity the greatest? e. Juan's position is given by (t) = πt(8−t) / 8. What is his angular velocity at t=2 and at what time is his angular velocity the greatest?

57. A race Jean and Juan run a one-lap race on a circular track. Their angular positions on the track during the race are given by the functions e(t) and ø(1), respectively, where 0≤t≤4 and t is measured in minutes (see figure). These angles are measured in radians, where 0 = p = 0 represent the starting position and 0 = = 2 represent the finish position. The angular velocities of the runners are o'(t) and p'(t). a. Compare in words the angular velocity of the two runners and the progress of the race. b. Which runner has the greater average angular velocity? c. Who wins the race? d. Jean's position is given by e(t) = n²/8. What is her angular velocity at = 2 and at what time is her angular velocity the greatest? e. Juan's position is given by (t) = πt(8−t) / 8. What is his angular velocity at t=2 and at what time is his angular velocity the greatest?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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