Question

A bullet in a gun is accelerated from the firing chamber to the end of the barrel at an average rate of 6.20×10^5 m/s² for 8.10×10⁻⁴ s. What is its muzzle velocity (that is, its final velocity)?

a) 502 m/s
b) 503 m/s
c) 504 m/s
d) 505 m/s

Answer 1

The muzzle velocity of the bullet can be calculated using the kinematic equation v = at, which yields a final velocity of 502 m/s, corresponding to option a) 502 m/s.

Step-by-step explanation:

To determine the muzzle velocity of the bullet, we can use the kinematic equation which relates acceleration, time, and final velocity:

v = at

Where v is the final velocity, a is the acceleration, and t is the time for which the bullet is accelerated. With the provided average acceleration 6.20\u00d7105 m/s2 and time 8.10\u00d710-4 s, we calculate the muzzle velocity as:

v = (6.20\u00d7105 m/s2) \u00d7 (8.10\u00d710-4 s) = 502.2 m/s

Rounding to the nearest whole number, the muzzle velocity is 502 m/s, which corresponds to option a) 502 m/s.