Sunday, January 1, 2012

One simple model for a person running the 100m dash is to assume the sprinter runs with a constant acceleratio?

physics question


one simple model for a person running the 100m dash is to assume the sprinter runs with constant acceleration unit reaching top speed then maintains the speed through the finish line


If a sprinter reaches his top speed of 11.4m/s in 2.44s what will be his total time?|||He reached 11.4m/s in 2.44s with a constant acceleration, so the acceleration was 11.4/2.44 = 4.67 m/s^2.





The distance he covered in those 2.44s is 1/2at^2 = 1/2(4.67)(2.44)^2 = 13.9m. That leaves him 86.1m to cover at 11.4m/s, which is a time of 7.55s. So his total time is 7.55 + 2.44 = 9.99s.





Not exactly a world class sprint time.

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