Question: If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving

If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves 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 functions

r₁(t) =t², 15t 54, t²

r₂(t) =12t 27, t², 13t 36

fort 0.

Find the values of t at which the particles collide. (Put your answers as a comma-separated list. If an answer does not exist, put DNE.)

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