The One Hundred Meter Dash

In the one-hundred-meter dash, a sprinter accelerates from rest to a maximum speed with an acceleration whose magnitude is 2.73m/s^2. After achieving top speed, he runs the remainder of the race without accelerating or decelerating. If the total time he is running is 11 seconds, how far does he run in the acceleration phase?


The answer is 22.84.

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