Question

A bullet leaves a rifle with a muzzle velocity of $521m/s$. While accelerating through the barrel of the rifle, the bullet moves a distance of $0.840m$. Determine the acceleration of the bullet (assume a uniform acceleration).

• A. $1.62\times {10}^5$ m/s
• B. $1.62\times {10}^7$ m/s
• C. $1.62\times {10}^6$ m/s
• D. $1.62\times {10}^4$ m/s

Answer 1

The correct option is A $1.62\times {10}^5$ m/s

We assume the bullet leaves from rest. So the initial velocity will be, $u=0m/s$

Also given, final velocity $v=521m/s$ and distance traveled $d=0.840m$

Let $a$ be the acceleration of the bullet.

Using $v^2-u^2=2ad$, we get

$(521{)}^2-0^2=2a(0.840)$

$⟹$ $a=1.62\times {10}^{5}m/s^2$