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## Homework Statement

A hunter’s rifle is pointed upwards in a vertical position aiming at a duck flying 50 m above the gun. The bullet has a weight of 5 N and it is shot moving upward with a speed of 40 m/s when it hits the duck. (a) What is the speed of the bullet as it leaves the rifle? (b) What would be the maximum height the bullet would reach if it had missed the duck?

## Homework Equations

Not sure if I have to use Work equations or kinematics equations.

## The Attempt at a Solution

I pointed out knowns and unknowns so far, but I am unsure if I should use a kinematics equation (for the y-direction) - the bullet feels a force of gravity, and gravity is constant, so I can use a kinematics equation. But, the bullet is accelerating upwards, and acceleration is not constant. We are discussing Work right now so it wouldn't make sense if this whole problem was about kinematics... should I draw a FBD of the bullet and figure out the forces acting upon it? Is it a Work-Kinetic Energy problem?

Edit: I know for sure now it is not a kinematics problem. It has to be a Work-Kinetic Energy problem. The thing is, I am attempting to calculate total work done on the bullet, and there is a force on the bullet from the gun going upwards, but it is not given to us. I found the work done by gravity and it is -250 J.

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