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Two particles are moving in the xy-plane. They move along straight lines at a constant speed....

Two particles are moving in the xy-plane. They move along straight lines at a constant speed. At time t, particle A's position is given by x = t + 4, y = 1/2t-7 and particle B's position is given by x = 18 − 2t, y = 5 − 1/3t. Find the time (i.e., the value of t) at which the distance between A and B is minimal.

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