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A world-class sprinter accelerates to his maximum speed in 3.8 s. He then maintains this speed for the remainder of a 100m race, finishing with a total time of 9.3 s.
And then im asked what was his acceleration in the first 3.8secs? I dont seem to get it. It seems they are not giving enough info?
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If a is his acceleration, then
and the distance he covers during this time is
He then runs the last 100−7.22a metres at his top speed in 9.3 − 3.8 = 5.5 seconds. Hence
Now you can solve for a.
Last edited by JaneFairfax (2008-02-09 08:19:16)
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If a is his acceleration, then
and the distance he covers during this time is
He then runs the last 100−7.22a metres at his top speed in 9.3 − 3.8 = 5.5 seconds. Hence
Now you can solve for a.
Very creative Jane. Dont think I could of thought of that.
Thanks
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Is the acceleration of a runner really linear?
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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I forgot to say but the question asked for the average acceleration in the first 3.8 seconds.
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