A Bullet is fired from a rifle with a velocity $750 m / s$ . If length of rifle barrel is a $60 c m$ ,calculate average velocity of the bullet ,while being accelerate in barrel. Find the time taken by the bullet to travel.

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Solution

Given velocity , $v = 750 m / s$
initial velocity , $u = 0 m / s$
Length of barrel , $s = 60 c m = 0.6 m$
Therefore average velocity $V_{a v} = \frac{V + u}{2} = \frac{750 + 0}{2} = 375 m / s$
& from equation of motion ,we have
$V^{2} = V^{2} + 2 a s a = \frac{v^{2} - u^{2}}{2 s} = \frac{750^{2}}{2 \times 0.6} = 4.68 \times 10^{5} m / s^{2}$
Also we know
$a = \frac{v - u}{t}$
$=> t = \frac{750 \times 10^{- 5}}{4.68} = 160.25 \times 10^{- 5}$

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A Bullet is fired from a rifle with a velocity 750m/s. If length of rifle barrel is a 60cm ,calculate average velocity of the bullet ,while being accelerate in barrel. Find the time taken by the bullet to travel.

Given velocity , v=750m/sinitial velocity , u=0m/sLength of barrel ,s=60cm=0.6mTherefore average velocity Vav=V+u2=750+02=375m/s& from equation of motion ,we have V2=V2+2asa=v2−u22s=75022×0.6=4.68×105m/s2Also we know a=v−ut=>t=750×10−54.68=160.25×10−5

A Bullet is fired from a rifle with a velocity $750 m / s$ . If length of rifle barrel is a $60 c m$ ,calculate average velocity of the bullet ,while being accelerate in barrel. Find the time taken by the bullet to travel.