A sprinter starts from rest and reaches his top speed in 4 seconds running with a constant acceleration. He then maintains that top speed and finishes the 100 m in the overall time of 10 seconds. What is his acceleration?

Answer 1

Total distance covered is the sum of the distance covered while accelerating (for t = 4 seconds) plus the distance travelled at constant speed (V = at = 4a) for 6 seconds. Put that into equation form.

100 m = (1/2)at^2 + (at)*6
= 8a + 24a

and solve for a

Answer 2

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