How Do You Calculate Bullet Acceleration in a Rifle Barrel?

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In summary, we are given the length of a rifle barrel, the speed of a bullet leaving the muzzle, and the time interval for two problems. Using Newton's equations of motion, we can find the acceleration of the bullet while in the barrel and the average and instantaneous acceleration during the given time intervals.
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Homework Statement


the barrel of a rifle has a length of 0.916m. a bullet leaves the muzzle of a rifle with a speed of 642 m/s. (note: assume the acceleration in this is constant) what is the acceleration of the bullet while in the barrel? answer is m/s^2


Homework Equations



uhm i assume since I am looking for A i got a=V(final)+V(initial) divided by t

The Attempt at a Solution


uhm what i have goten so far is V(i)= 0m/s? V(f) = 642 m/s and time as .0014267913 ?

i get a wacked number that i know isn't right haha. any help?

also my paper has 2-3 problems like the one I am fixing to explain that I am little confused on.
1. find the average acceleration during the time interval 3s to 6s. answer in m/s^2
so far i got that the velocity is 5m/s from 3 to 6? and i guess T= 3? I am getting it wrong though the site says when i enter my answer.

2.find the instantaneous acceleration at 4 seconds. answer in m/s^2 uhm like earlier the velocity is 5m/s from 3s to 6 s. and i have no clue how to do that with the Acceleration formula my teacher gave me. any help helps
 
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  • #2
What information do we have? We're looking for a. We have Vf = 642. Vi = 0. x = 0.916.

What equation has these four variables in it?

Wouldn't it be better to use Vf^2 = Vi^2 + 2ax?
 
  • #3
im getting 224980.3493? heh? O_O
 
  • #4
3 knows
vi, vf, and x. solve for a.

Using Newton's equations of motion:
vf^2=vi^2+2ax

a = 224,989.3493 m/s^2
 

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