The maximum Speed of the Sprinter from the velocity time graph of his motion is; 11.98 m/s
We are given;
Initial Speed; u = 2.5 s
Total distance; d = 100 m
Total time; T = 9.6 s
The total distance is;
d = ¹/₂(9.6 + (9.6 - 2.5) * v
where v is maximum speed.
Thus;
¹/₂(9.6 + (9.6 - 2.5) * v = 100
16.7v = 200
v = 200/16.7
v = 11.98 m/s
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