Suppose that the position of one particle at time t is given by
and the position of a second particle is given by
- (a) Graph the paths of both particles. How many points of intersection are there?
- (b) Are any of these points of intersection collision points? In other words, arc the particles ever at the same place at the same time? If so, find the collision points,
- (c) Describe what happens if the path of the second particle is given by
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