Q.
A bullet is fired from the gun with a speed of 1000m/s m order to hit a target. s=100m away. At what height above the target should by gun be aimed? (The resistance of air is negligible and g=10m/s2 )
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ManipalManipal 2002Motion in a Plane
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Solution:
Here: Speed of bullet v=1000m/s
Distance of target s=100m
The time taken to cover the horizontal distance of 100m from the gun to the target is given by t=1000100=0.1 second
During this time, the bullet will fall down vertically under gravity
Hence, height h=ut+21gt2 =0×21×10×(0.1)2 =5×0.01=0.05m=5cm