A bullet leaves a rifle with a muzzle velocity of 521 m/s. While accelerating through the barrel of the rifle, the bullet moves a distance of 0.840 m. Determine the acceleration of the bullet (uniform acceleration)

Question

A bullet leaves a rifle with a muzzle velocity of 521 m/s.  While accelerating through the barrel of the rifle, the bullet moves a distance of 0.840 m.  Determine the acceleration of the bullet (uniform acceleration)

Henry · Accepted Answer

V^2 = 2ad = (521)^2, 2a*0.84 = 271441, 168a = 271441, a = 271441 / 1.68 = 161572 m/s^2.

Anvi · Answer

Thanks but on topper website it is solved in another way which seems correct. I want to understand that way....Could you explain?

Christian · Answer

Henry just used the equation V2² = V1² + 2ad where V1 (Initial velocity) is 0. Therefore it is shortened to: V2² = 2ad V2² / (2d) = a