Final answer:
The bullet's muzzle velocity is calculated using the formula v = at, given the average acceleration and time. The result is a muzzle velocity of 5022 m/s for the bullet when fired from the gun.
Step-by-step explanation:
To answer the question about the muzzle velocity of a bullet in a gun, we apply the physics formula for acceleration. The formula to find the final velocity (v) of an object when the initial velocity (u), acceleration (a), and time (t) are known is v = u + at. Here, the initial velocity (u) is zero because the bullet starts from rest, so the formula simplifies to v = at.
Using the given average acceleration of 6.20×105 m/s² and the time period of 8.10×10–4 seconds, the muzzle velocity is calculated as follows:
v = (6.20×105 m/s²) × (8.10×10–4 s) = 5022 m/s.
Therefore, the bullet's final velocity, commonly known as its muzzle velocity, is 5022 m/s.