Find the velocity and position vectors of an object with acceleration $\mathbf { a } ( t ) = 4 \mathbf { i } - 72 t \mathbf { j } + ( 72 t + 4 ) \mathbf { k }$, initial velocity $\mathbf { v } ( 0 ) = \mathbf { i } + \mathbf { k }$, and initial position $\mathbf { r } ( 0 ) = \mathbf { j } + 3 \mathbf { k }$.

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The Answer of Find the velocity and position vectors of an object with acceleration $\mathbf { a } ( t ) = 4 \mathbf { i } - 72 t \mathbf { j } + ( 72 t + 4 ) \mathbf { k }$, initial velocity $\mathbf { v } ( 0 ) = \mathbf { i } + \mathbf { k }$, and initial position $\mathbf { r } ( 0 ) = \mathbf { j } + 3 \mathbf { k }$.

Find the Velocity and Position Vectors of an Object with Acceleration