The path r(t) = (5 sin t) i+ (5 cos t) j describes motion on the circle x" + y" =25. Find the particle's velocity and acceleration vectors at t= = and ,, and sketch them as vectors on the curve. 513 The velocity vector at t = = is v 6 i + 2 (Type exact answers, using radicals as needed.) The acceleration vector at t= is a 6 (Type exact answers, using radicals as needed.) Choose the correct sketch for the particle's velocity and acceleration at t= - 6 -\fThe acceleration vector ett= 1isa[] =(l } i+[ ] j. 2 2 (Type exact answers. using radicals as needed.) :5 Choose the correct sketch of the particle at t = 3