Question

state whether the below assertion is correct or incorrect?

The barrel of a gun and a target lie along the same horizontal. If the target is released and the gun is fired at the same time, the bullet will always hit the target whatever be the distance between the gun and the target.

Answer 1

The vertical distance covered by target in time $t$ is given as,

$y_1=\frac{1}{2}g{t}^2$

The initial vertical component of velocity of the bullet is zero. Therefore, the vertical distance covered by bullet in the same time $t$ is,

$y_1=\frac{1}{2}g{t}^2$

As both the distances are equal therefore, after time $t$ the bullet and the target will be at same height.

This means bullet always hit the target whatever be the distance between the gun and the target.

Hence, the given assertion is correct.