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Given that the acceleration vector is a ( t ) = (−9 cos( 3t ) )...

Given that the acceleration vector is a ( t ) = (−9 cos( 3t ) ) i + ( −9 sin( 3t ) ) j + ( −5 t ) k, the initial velocity is v ( 0 ) = i + k, and the initial position vector is r ( 0 ) = i +j + k, compute: the velocity vector and position vector.

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