A bullet fired at anangle of 30° with the horizontal hits the ground 3.0 km away. Byadjusting its angle of projection, can one hope to hit a target 5.0km away? Assume the muzzlespeed to the fixed, and neglectair resistance.

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Solution

Answer: No
Range,R = 3 km
Angleof projection, θ= 30°
Accelerationdue to gravity, g = 9.8 m/s²
Horizontalrange for the projection velocity u₀,is given by the relation:
Themaximum range (R_max)is achieved by the bullet when it is fired at an angle of 45°with the horizontal, that is,
Oncomparing equations (i)and (ii),we get:
Hence,the bullet will not hit a target 5 km away.

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