A Body Moves Along a Coordinate Line in Such a Way

question 141

Short Answer

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

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