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Muzzle Velocity of a Projectile? I\'ve figured out all the other parts but can\'

ID: 1658918 • Letter: M

Question

Muzzle Velocity of a Projectile?

I've figured out all the other parts but can't quite solve the muzzle velocity.
Thank you.

A cannonball is fired from a gun and lands 510 meters away at a time 18 seconds. What is the y-component of the initial velocity? 90 m/s. You are correct. Computer's answer now shown above. Your receipt no. is 163-7105 (G Previous Tries What is the maximum height of the cannonball? 405 meters. You are correct. Computer's answer now shown above. Your receipt no. is 163-891 Previous Tries What is the x-component of the initial velocity? 28.3333 m/s. You are correct. Computer's answer now shown above Previous Tries Your receipt no. is 163-711 What is the muzzle velocity of this projectile? 7.52 Pythagorean Theorem m/s. Submit AnswerIncorrect. Tries 1/2 Previous Tries What is the angle of inclination of this projectile? 72.5252 degrees from the horizontal. You are correct. Computer's answer now shown above Your receipt no. is 163-7968 Previous Tries

Explanation / Answer

Muzzle velocity would simply be the velocity with which the projectile leaves the muzzle of the gun.

It is the toatal initial velocity of the projectile.

Now if X and Y components of the velocity is known.

Initial muzzle velocity can be found as,

v = (vx2+vy2)1/2 = 94.35 m/s

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