Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t) = (5t, 5 sin(t), cos(5t)) 8(0) = (0, -2, 2) T(0) = (-3, 2, -1) T ( t ) = 1 6 +t -3 -5 sin (t) + 3t + 2 cos (5t) 26 X , + 2t - X 25 25