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← JEE Main 2014 · 11 Apr · Shift 1
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JEE Main 2014 · 11 Apr · Shift 1, Physics question 2

The initial speed of a bullet fired from a rifle is 630 m/s. The rifle is fired at the centre of a target 700 m away at the same level as the target. How far above the centre of the target the rifle must be aimed in order to hit the target ?

Choose one option
Answer and worked solution

Official answer: C

The flight time is t=700630=1.11t=\frac{700}{630}=1.11 s. In that time the bullet falls 12gt2=12(9.8)(1.235)≈6.1\frac12gt^2=\frac12(9.8)(1.235)\approx6.1 m, so the rifle must be aimed that far above the centre.