Find the velocity, acceleration, and speed of a particle with position function r(t) = (8t sin(t), 8t cos(t), -5t2 v(t) = (8 sin(t) + 8t cos(t) ) 8 cost - 8t sin t a(t) = ( 16 cost - 8t sin t -16 sin t - 8t cost |v (t) 1