Question

to the end of the barrel at an average rate of 6.20×105 m/s2 6.20 × 10 5 m/s 2 for 8.10×10−4 s 8.10 × 10 − 4 s . What is its muzzle velocity (that is, its final velocity)?

Answer 1

The muzzle velocity of the bullet can be calculated using the formula for final velocity with known acceleration and time. Given both acceleration of 6.20 × 105 m/s2 and time of 8.10 × 10-4 s, the muzzle velocity is found to be 502.20 m/s.

Step-by-step explanation:

To calculate the bullet's muzzle velocity, we can use the formula for final velocity when acceleration and time are known:

final velocity (v) = initial velocity (u) + (acceleration (a) × time (t))

Since the bullet starts from rest, the initial velocity (u) is 0 m/s. We are given the acceleration (a) as 6.20 × 105 m/s2 and the time (t) the bullet is accelerated as 8.10 × 10-4 s.

Substitute the given values into the formula:

v = 0 m/s + (6.20 × 105 m/s2 × 8.10 × 10-4 s)

v = 0 m/s + 502.20 m/s

Therefore, the bullet's muzzle velocity is 502.20 m/s.