A gun and a target are at the same horizontal | vedclass

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(C) Given, distance between gun and target $d = 600 \,m$, velocity of bullet $v = 500 \,ms^{-1}$.Since the bullet travels horizontally to cover the di

Vedclass · Accepted Answer

$7.2$

Vedclass · Answer

(C) Given, distance between gun and target $d = 600 \,m$, velocity of bullet $v = 500 \,ms^{-1}$.Since the bullet travels horizontally to cover the distance, the time taken $t$ is given by $t = d/v = 600/500 = 1.2 \,s$.Due to gravity, the bullet will fall vertically by a distance $h$ in this time $t$. Using the equation of motion $h = ut + (1/2)gt^2$, where initial vertical velocity $u = 0$:$h = 0 	imes (1.2) + (1/2) 	imes 10 	imes (1.2)^2$$h = 5 	imes 1.44 = 7.2 \,m$.Thus, the gun must be aimed at a height of $7.2 \,m$ above the target to compensate for the vertical drop.

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