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. Find the point at which the parametric curve intersects itself and the corresponding values of t.

(a) x = 1 − t²,    y = t − t³

(b) x = 2t − t³,    y = t − t²

Transcribed Image Text:

УА 1 x