An Olympic athlete set a world record of 9.34 s in the 100-m dash. Did his speed

Question

An Olympic athlete set a world record of 9.34 s in the 100-m dash. Did his speed ever exceed 38 km / hr during the race? Explain. Select the correct choice below and fill in any answer boxes to complete your choice. (Round to one decimal place as needed.) A. The average speed is km/hr. By the Mean Value Theorem, the speed was exactly km/hr at least once. By the Intermediate Value Theorem, all speeds between and km/hr were reached. Because the initial and final speed was 0 km/hr, 38 km/hr was never exceeded. B. The average speed is km/hr. Since this value is below 38 km/hr. it is impossible to tell if his speed exceeded 38 km/hr. C. The average speed is km/hr. By the Mean Value Theorem, the speed was exactly km/hr at least once. By the Intermediate Value Theorem, all speeds between and km/hr were reached. Because the initial and final speed was 0 km/hr, 38 km/hr was exceeded.

Explanation / Answer

100m in 9.34 s

speed =100/9.34 m/s

speed =(100/9.34)(1/1000 km)/(1/3600 hr)

speed =(100/9.34)(3600/1000)km/hr

speed =38.544km/hr

C)average speed is 38.5km/hr. ,by mean value theorem,the speed was exactly 38.5km/hr at least once, by intermediate value theorem ,all speeds between 0, 38.5 km/hr were reached , because the initial and final seed was 0km/hr , 38km/hr was exceeded

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