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A Body Moves Along a Coordinate Line in Such a Way

Question 141

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A body moves along a coordinate line in such a way that its velocity at any time tt , where 0t60 \leq t \leq 6 , is given by
v(t)=t36t2.v ( t ) = t \sqrt { 36 - t ^ { 2 } } .
Find its position function if it is initially located at the origin.

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