A bullet in a gun is accelerated from the firing chamber to the end of the barrel at an average rate of 6.20×105m/s2 for 8.10×10-4s. What is its muzzle velocity (that is, its final velocity)?

Respuesta :

The final velocity or the muzzle velocity of the bullet at an average rate of 6.20×10⁵ m/s² for 8.10×10⁻⁴ s is 502.2 m\sec.

Given to us

Acceleration of the bullet, a = [tex]6.20\times 10^5 \rm\ m/s^2[/tex]

Time taken by the bullet, t = [tex]8.10\times 10^{-4}\rm\ s[/tex]

What is the muzzle velocity of the bullet?

We know according to the first equation of motion the acceleration can be written as,

[tex]a=\dfrac{v-u}{t}[/tex]

As the bullet at the beginning was rest, therefore, it was not shot, the initial velocity, u =0.

Substitute the values in the equation of motion,

[tex]6.20 \times 10^5=\dfrac{v-(0)}{8.10\times 10^{-4}}[/tex]

[tex]v = 502.2\rm\ m/sec[/tex]

Hence, the final velocity or the muzzle velocity of the bullet at an average rate of 6.20×10⁵ m/s² for 8.10×10⁻⁴ s is 502.2 m\sec.

Learn more about the Equation of motion:

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