Given that the acceleration vector is a(t)=(−1cos(−t),−1sin(−t),2t)a(t)=( −1cos⁡(−t),−1sin⁡(−t),2t), the initial velocity is v(0)=(1,0,1)v(0)=(1,0,1), and the initial position vector is r(0)=(1,1,1)r(0)=(1,1,1), Compute:a. The Velocity Vector v(t): _ i + _ j +_kb. The position vector r(t): _i + _ j + _k