4. [3/5 Points] DETAILS PREVIOUS ANSWERS MY NOTES Suppose that the position of each of two particles is given by parametric equations. A collision point is a point where the particles are at the same place at the same time. If the particles pass through the same point but at different times, then the paths intersect but the particles don't collide. The position of one particle at time t is given. x = 3 sin(t) y = 2 cos(t) Osts 2n The position of a second particle is also given. x = -3 + cos(t) y = 1 + sin(t) Osts 2n (a) Graph the paths of both particles. u a K A UI a K WA UAL W ID H N O 1 C X -6-5-4-3-2-1 -1 2 4 5 6 -6-5 -4-3 -2 1 3 4 -6-5-4-3 -2-1 1 -1 5 6 -1/ 3 4 5 6 -2 - 2 -3 -4 -4 -5 -5 -6 -6 O(b) (C) {HIP-U101 At how many points do the graphs intersect? a Do the particles collide? If so, find the collision points. {If the particles do not collide, enter DN (x, y) =( 2.097.1.43 ) X Describe what happens if the path of the second particle is given by the following. x: 3+cos(t) y: 1 +sin{t} Os ts 2:1 At how many points do the graphs intersect? ICU: Do the particles collide? If so, find the collision points. (If the particles do not collide, enter DN (x, y) = ( DNE ) c/ )