A missile is launched when an airplane is directly overhead, at a height 
. The missile moves at a constant speed 
always heading directly towards the aircraft, which is moving along a straight line at constant velocity 
. What is the shape of the missile’s trajectory? How far will the aircraft fly before it is hit by the missile? What if the plane takes evasive action by randomly changing its direction, but heading in the original direction on the average? What is the best strategy for the missile to maximize the probability of a hit?
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