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A rocket moves horizontally with a constant velocity ‘3m/s’ at a height ‘16m’. A guided missile is fired vertically with a speed ‘v’ when the rocket passes above it. Assuming that the missile always aims at the rocket with the constant speed ‘v= 5m/s’, find the time after which the missile strikes the rocket.
For rocket in x – direcn.x = 3*t..............(1)For missile, on solving we getroot(h^2 + x^2) = 5tsq. both sides we get,h^2 + x^2 = 25t^2put x value from eqn. (1)we get,256 = 16t^2t^2 = 16 t = 4 seconds.
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