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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.
The knowns:
The unknowns:
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.
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.
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