Question: If two objects travel through space along two different curves, itis often important to know whether they will collide. For example, will two aircrafts collide?

If two objects travel through space along two different curves, itis often important to know whether they will collide. For example, will two aircrafts collide? Or will two satellites in orbit hit each other? The curves (of travel) might intersect, but we need to know whether the objects are in the same position at the same time.Suppose the trajectories of two particles are given by the vector functionsr1(t)= t2,14t-48,t2,r2(t)= 15t-54,t2,13t-42 fort0.Find the values oftat which the particles collide. (Enter your answers as a comma-separated list. Ifan answer does not exist, enter DNE.)

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