The following relates to exercises 4-6 on this page and the top of the next page: Suppose three objects have positions at times t > 0 given by r, (t) = 5(cos (t), sin (t)), r2(t) = 5(cos (2t), sin (2t)) and ra(t) = 5(cos (#t?), sin (#t2)) respectively. (4) All three objects follow the SAME path in the plane. Draw this path. Then draw and label r1 (2), 12 (2) and ra (2) as position vectors with their tails at the origin. (5) The velocities of the objects are determined by differentiating their positions. Deter- mine the velocity functions for each object. Copy the graph from above. Then draw and label v1 ("), vz (5) and va (7) as vectors with their tails at the heads of the respective position vectors. (6) The acceleration vectors of the objects are determined by differentiating their veloc- ities. Determine the acceleration vector for each object. Copy the graph from the bottom of the previous page. Then draw and label a, (?), az (7 ) and as (7) as vectors with their tails at the heads of the respective position vectors