Final answer:
The muzzle velocity of the bullet when it emerges from the end of the gun barrel is 502.2 m/s, calculated using the kinematic equation v = u + at with a given acceleration of 6.20×105 m/s² for 8.10×10-4 s.
Step-by-step explanation:
To calculate the muzzle velocity of a bullet, we will use the kinematic equation which relates final velocity, initial velocity, acceleration, and time.
Given that a bullet is accelerated from rest in the firing chamber to the end of the barrel at an average acceleration of 6.20×105 m/s² for a duration of 8.10×10-4 s, we can use the equation:
v = u + at
where:
- v is the final velocity (muzzle velocity),
- u is the initial velocity (which is 0 m/s since the bullet starts from rest),
- a is the acceleration (6.20×105 m/s²), and
- t is the time (8.10×10-4 s).
Substituting the given values:
v = 0 + (6.20×105 m/s²) × (8.10×10-4 s)
v = 502.2 m/s
Therefore, the muzzle velocity of the bullet when it emerges from the end of the gun barrel is 502.2 m/s, to three significant figures.