A person takes an aim at a monkey sitting on a tree and fires a bullet. Seeing the smoke the monkey begins to fall freely; then the bullet will:
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a
Hit the monkey
b
Go above the monkey
c
Go below the monkey
d
Hit the monkey if the initial velocity of the bullet is more than a definite velocity
answer is D.
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Detailed Solution
Because of gravity the bullet has an acceleration g vertically downwards, so in time t the bullet will reach a heighty=xtanθ−12gt2=H−12gt2=H−hThe monkey will freely in time t ash=M0M1=H−y=12gt2∴ Bullet and monkey both will always be at M1 after same time what ever may be velocity of bullet. Thus, bullet will always hit the monkey.