First slide
Projection Under uniform Acceleration
Question

A rifle shoots a bullet with a muzzle velocity of 400 ms-1 at a small target 400 m away. The height above the target at which the bullet must be aimed to hit the target is (g = 10 ms-2).

Moderate
Solution

Time taken by bullet to reach the target is
 Distance  velocity = Distance ucosθ    [ As θ is very small, cosθ=1 ]  Time = Distance u=400400=1 s Vertical deflection of bullet is =12gt2=12×10×(1)2=5 m

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