miriamnelson1960 miriamnelson1960
  • 11-09-2020
  • Physics
contestada

If a bullet with an acceleration of 1.5 m/s2 takes 2 seconds to leave the muzzle of a rifle (starts at rest), what was the length of the rifles barrel?

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okpalawalter8
okpalawalter8 okpalawalter8
  • 11-09-2020

Answer:

The length is   [tex]D  =3 \  m  [/tex]

Explanation:

The  velocity of the bullet is mathematically evaluated as

      [tex]v  =  a * t [/tex]

=>   [tex]v  = 1.5 * 2 [/tex]

=>    [tex]v  = 3 \  m/s  [/tex]    

Now from kinematic equation

       [tex]v^2  =  u^2 + 2* a  *  D[/tex]

Here  D is the length of the barrel  and  u =  0 m/s

So

     [tex]3^2  =  0 + 2* 1.5  *  D[/tex]

     [tex]D  = \frac{9}{3} [/tex]

      [tex]D  =3 \  m  [/tex]

     

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