Given that the acceleration vector is a ( t ) = (−1 cos( −1 t ) ) I + ( −1 sin( −1 t ) ) J + ( −5 t ) K, the initial velocity is v ( 0 ) = I + K, and the initial position vector is X ( 0 ) = I +J + K, compute:

A. The velocity vector v ( t ) = ? I + ? J + ? K

B. The position vector X ( t ) = ? I + ? J + ? K

Note: the coefficients in your answers must be entered in the form of expressions in the variable \emph{t}; e.g. "5 cos(2t)"

Question

Given that the acceleration vector is a ( t ) = (−1 cos( −1 t ) ) I + ( −1 sin( −1 t ) ) J + ( −5 t ) K, the initial velocity is v ( 0 ) = I + K, and the initial position vector is X ( 0 ) = I +J + K, compute:

A. The velocity vector v ( t ) = ? I + ? J + ? K

B. The position vector X ( t ) = ? I + ? J + ? K

Note: the coefficients in your answers must be entered in the form of expressions in the variable \emph{t}; e.g. "5 cos(2t)"