Question: Find Position, Velocity and Acceleration VectorsFind the position vector for a particle with acceleration, initialvelocity, and initial position given below.vec(a)(t)=(:3t,6sin(t),cos(3t):)vec(v)(0)=(:-4,-1,-2:)vec(r)(0)=(:0,5,4:)vec(r)(t)=

Find Position, Velocity and Acceleration VectorsFind the position vector for a particle with acceleration, initialvelocity, and initial position given below.vec(a)(t)=(:3t,6sin(t),cos(3t):)vec(v)(0)=(:-4,-1,-2:)vec(r)(0)=(:0,5,4:)vec(r)(t)=

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