an enemy plane is flying horizontally at an altitude of 2km with a speet of 300m/sec .An army man with an anti-aircraft gun on the ground sights the enemy plane when it is directly over head and fires a shell with a muzzle speed of 600m/s . At wat angle with the verticle should the gun be fired so as to hit the plane?

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Solution

distance covered by vertical component of velocity of shell in horizontal direction in time t =600sinÎ¸ t
distance covered by plane in time t=300t
when the shell hit the plane the horizontal distance covered by both plane and shell will be same
600sinÎ¸ t=300t
sinÎ¸=1/2
Î¸=30° with the vertical ans

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