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A Body Moves Along a Coordinate Line in Such a Way

Question 22

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A body moves along a coordinate line in such a way that its velocity at any time t, where 0t60 \leq t \leq 6 , is given by v(t)=t36t2v(t)=t \sqrt{36-t^{2}} .
Find its position function if it is initially located at the origin.

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