An athlete starts at point and runs at a constant speed 6.0 m/s around a round t

Question

An athlete starts at point and runs at a constant speed 6.0 m/s around a round track 100 m in diameter, as shown in Figure 3.35. Find the x and y components of this runner's average velocity and average acceleration between points A and B, A and C, C and D, and A and A (a full lap), Calculate the A FICURE 3 35 Problem 5-magnitude of the runner's average velocity between A and B Is his average speed equal to the magnitude of his average velocity? Why or why not? How can his velocity be changing if he is running at constant speed?

Explanation / Answer

A = (-50, 0) B = (0,50) C = (50, 0) D = (0, -50) so the circumference is 2 x pi x r = 314m Time between points is 314m / 6.0m/s / 4 13.0s between each section. so for A - b displacement Ax = (0-50m)/13s = -3.84 m/s displacement Ay, A = (50-0)/13s = 3.84 m/s average velocity = displacement / time VA = sq rt[(-3.84^2)+(3.84^2)] = 5.43 m/s Aax = 3.84m/s^2 Aay = -3.84m/s^2

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