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Q.

A bullet is to be fired with a speed of 2000 ms-1 to hit a target 200 m away on a level ground. If g = 10 ms -2, the gun should be aimed

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a

directly at the target

b

5 cm below the target

c

5 cm above the target

d

2 cm above the target

answer is C.

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Detailed Solution

Let t be time taken by the bullet to hit the target.Range of the projectile =200=u2sin2θg 200=20002gsin2θ sin2θ=12000 ; θ=14000 tanθ=14000=hR=h200 h=120m=5cm∴   Gun should be aimed 5 cm above the target.
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A bullet is to be fired with a speed of 2000 ms-1 to hit a target 200 m away on a level ground. If g = 10 ms -2, the gun should be aimed