Respuesta :

The acceleration of a bullet that leaves a 28-in rifle barrel at 2700 ft/s is 1.562 x 10⁶ m/s² and its time in the barrel is 0.0017s

a) How to determine the acceleration of the bullet

Converting inches to a foot

1 inch = 1/12 foot

28-in =  1/12 x 28 ft

28-in = 2.33ft

Therefore, the distance, s, covered by the bullet is 2.333ft

Using one of the equations of motion

2as = u² - v²

The initial velocity is 0

Where a = acceleration of the bullet

            s = distance

             u = initial velocity

             v = final velocity

a = v² - u² ÷ 2s

= (2700 ft/s)² - 0 ÷ 2 (2.333ft)

a = 1.562 x 10⁶ m/s²

b) How to determine the time of the bullet in the barrel

s = v² + u² ÷ 2

t = 2 ÷ (v² + u²)

t = 2 (2.333ft) ÷ (0 + 2700 ft/s)

t = 0.0017s

In summary, a bullet that leaves a 28-in rifle barrel at 2700 ft/s would have an acceleration of 1.562 x 10⁶ m/s², spending a time of 0.0017s in the barrel.

Learn more about the acceleration of a bullet leaving a rifle here at: https://brainly.com/question/18522474

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