If a bullet leaves the muzzle of a rifle with a speed of 600 m/s, and the barrel of the rifle is 0.800 m long, at what rate is the bullet accelerated while in the barrel?That is the question I am having trouble with

Respuesta :

Given that the final velocity of the bullet is

[tex]V_f=600\text{ m/s}[/tex]

The initial velocity of the bullet is

[tex]V_i=0\text{ m/s}[/tex]

The distance traveled by the bullet is x = 0.8 m

We have to find the acceleration.

Let the acceleration be denoted by a.

The equation which can be used to calculate acceleration is

[tex](V_f)^2-(V_i)^2=2ax[/tex]

Substituting the values, acceleration will be

[tex]\begin{gathered} (600)^2-0^2=2\times a\times0.8 \\ a=\frac{360000}{1.6} \\ =225000m/s^2 \end{gathered}[/tex]

Thus the acceleration will be 225000 m/s^2.