How Is Acceleration Calculated for a Bullet in a Rifle Barrel?

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To calculate the acceleration of a bullet in a rifle barrel, the length of the barrel (0.877 m) and the bullet's exit speed (612 m/s) are used. Assuming constant acceleration for simplicity, the formula v² = u² + 2as is applied, where v is the final velocity, u is the initial velocity (0 m/s), a is acceleration, and s is the distance (0.877 m). Rearranging the formula allows for the calculation of acceleration, resulting in approximately 227,000 m/s². This high acceleration reflects the rapid increase in speed as the bullet travels through the barrel.
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The barrel of a rifle has a length of 0.877 m. A bullet leaves the muzzle of a rifle with a speed of 612 m/s.
What is the acceleration of the bullet while in the barrel? A bullet in a rifle barrel does not have constant acceleration, but constant acceleration is to be assumed for this problem.
Answer in units of m/s2.
 
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