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9709 P41 - Jun 2018 - Q5
3812

A sprinter runs a race of 200 m. His total time for running the race is 20 s. He starts from rest and accelerates uniformly for 6 s, reaching a speed of 12 m/s. He maintains this speed for the next 10 s, before decelerating uniformly to cross the finishing line with speed \(V\) m/s.

(i) Find the distance travelled by the sprinter in the first 16 s of the race. Hence sketch a displacement-time graph for the 20 s of the sprinter’s race.

(ii) Find the value of \(V\).

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