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Could someone help me come up with the distance equation for a projectile that is launched at an angle and initially at a height. I need figure out a relationship between distance, alpha, and beta. The final equation should contain only variables d, alpha, and beta.

Here's what I've tried to do:

I started with the conservation of energy.

KE1=0

PE1=mgh

KE2=1/2mV

PE2=mgh

I think I have solved this problem. I will scan in my work sometime and would like to see if I'm on the right track. If anyone could help with this problem it would be awesome. This problem is a theoretical problem for a design project I'm working on.

__The knowns:__- The mass of the projectile is .021 kg
- The distance from the pivot point of the pole to the ground is .2 meters

__The unknowns:__- The velocity of the projectile when the pole is at angle beta
- The final distance
- The angles beta and alpha

Here's what I've tried to do:

I started with the conservation of energy.

KE1=0

PE1=mgh

_{1}KE2=1/2mV

_{2}^{2}PE2=mgh

_{2}I think I have solved this problem. I will scan in my work sometime and would like to see if I'm on the right track. If anyone could help with this problem it would be awesome. This problem is a theoretical problem for a design project I'm working on.