Final answer:
To find the muzzle velocity of the bullet, use the formula v = u + at with the given acceleration and time. With 0 m/s initial velocity, the final calculated muzzle velocity is approximately 502 m/s.
Step-by-step explanation:
To calculate the muzzle velocity of a bullet accelerated from the firing chamber to the end of the barrel, we use the formula for constant acceleration, which is:
v = u + at
Where:
- v is the final velocity
- u is the initial velocity (which is 0 m/s for a bullet starting from rest)
- a is the acceleration
- t is the time.
Substituting the given values (a = 6.20×105 m/s2 and t = 8.10×10-4 s) into the formula, we get:
v = 0 m/s + (6.20×105 m/s2 × 8.10×10-4 s)
After performing the multiplication, we find that the muzzle velocity v is approximately 502 m/s. This value represents the speed at which the bullet leaves the barrel.
Calculating the muzzle velocity is important in ballistics for understanding the performance and behavior of firearms under different conditions.