A bullet comes out of a gun with a velocity of 600 m/s. At what height from the target should the gun be aimed in order to hit the target situated at a distance of 200 m from the gun?
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a
0.55 m
b
55 m
c
5.5 m
d
55×10-4 m
answer is A.
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Detailed Solution
Time taken in travelling horizontal distance of 200m with constant velocity of 600 m/s is equal to 200/600=1/3 sec. Vertical distance moved under acceleration due to gravity, with zero initial velocity will be S=ut+12 at 2=0+12×10×(1/3)2=0.55 m . Hence the bullet should be aimed 0.55 m higher than target.
A bullet comes out of a gun with a velocity of 600 m/s. At what height from the target should the gun be aimed in order to hit the target situated at a distance of 200 m from the gun?