(c) Consider the circle given by r10): (7 003(1), 7 sin(t)) where 0 S t

(c) Consider the circle given by rl (t) < 7 where 0 t < 2n , and consider the circle given by (t) = (3 where 0 < t < 27T . Of these two circles which one has the higher curvature? No justification is needed. (d) Suppose that a particle starts its movement at an initial position of (0, 0, 0) with an initial velocity of v (0) = i +j+k . Also suppose that the acceleration vector of the particle is a(t) = 2ti +3j k where t 20. Find the position vector for this particle at time t.