Bike race Theo and Sasha start at the same place on a
Chapter 6, Problem 57(choose chapter or problem)
Bike race Theo and Sasha start at the same place on a straight road, riding bikes with the following velocities (measured in mi>hr). Assume t is measured in hours. Theo: vT1t2 = 10, for t 0 Sasha: vS1t2 = 15t, for 0 t 1 and vS1t2 = 15, for t 7 1 a. Graph the velocity functions for both riders. b. If the riders ride for 1 hr, who rides farther? Interpret your answer geometrically using the graphs of part (a). c. If the riders ride for 2 hr, who rides farther? Interpret your answer geometrically using the graphs of part (a). d. Which rider arrives first at the 10-, 15-, and 20-mile markers of the race? Interpret your answer geometrically using the graphs of part (a). e. Suppose Sasha gives Theo a head start of 0.2 mi and the riders ride for 20 mi. Who wins the race? f. Suppose Sasha gives Theo a head start of 0.2 hr and the riders ride for 20 mi. Who wins the race?
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