You are at the origin in the xy-plane. At time t = 0 an incoming missile is at position (1000, 500) and has velocity -30 i + 3 j. (All distances are in metres and time is measured in seconds.) At that instant you fire an anti-missile missile to intercept the incoming missile. If your missile has an initial speed of 100 m/s, at what angle of elevation above the horizontal should you fire your missile to ensure that it intercepts the incoming missile? Assume that gravity is the only force acting on the projectiles.
A) 0.42535 radians
B) 0.52535 radians
C) 0.62535 radians
D) 0.72535 radians
E) 0.56535 radians

Question

Quizplus · Accepted Answer

The relative velocity and position equations can be used to determine the angle. Solving these equations, the angle of elevation required is approximately 0.62535 radians.

You Are at the Origin in the Xy-Plane