The path r(t) = (5 cost) i+ (5 sin t) j describes motion on the circle x" + y" =25. Find the particle's velocity and acceleration vectors at t= 5 and , and sketch them as vectors on the curve. . . . The velocity vector at t= is v = (-5) i+ (0) j N (Type exact answers, using radicals as needed.) The acceleration vector at t= = is a = N (Type exact answers, using radicals as needed.)The equation rlt] = [8H 5) i+ [:le 5) j + (6t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then unite the particle's velocity at t =0 as a product of its speed and direction. What is the velocity vector? WE} HUME} k