physics

A rocket is fired at a speed of 75.0 m/s from ground level, at an angle of 59.7° above the horizontal. The rocket is fired toward an 11.0 m high wall, which is located 28.5 m away. The rocket attains its launch speed in a negligibly short period of time, after which its engines shut down and the rocket coasts. By how much does the rocket clear the top of the wall?

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  1. Horizontal problem:
    u = 75 cos 59.7 = 37.8 m/s horizontal
    t = 28.5/37.8 = .753 s

    Vertical problem:
    Vi = 75 sin 59.7 = 64.75 m/s initial
    h = 64.75 t - 4.9 t^2
    = 48.8 - 2.8 = 46 meters high
    so
    46 - 11 = 35 meters

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