Mechanics Thing(algebra craziness)

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The discussion focuses on consolidating three equations to calculate the distance a projectile travels when launched from a height at an angle. The key equations involve calculating velocity using conservation of energy, vertical displacement, and horizontal displacement. Attempts to simplify these equations have led to complex fractions and radical expressions that are challenging to manage. The poster seeks assistance in simplifying the calculations while accounting for a non-zero starting height. The goal is to streamline the projectile motion analysis for better clarity and usability.
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Homework Statement


The task is to consolidate the three equations used to calculate the distance that a projectile fired at an angle and at a height above the ground will travel. Its an experiment with an adjustable projectile launcher. Calculate the velocity using conservation of energy based on the height straight up that the projectile reaches.


Homework Equations



V=rad(2gh), Dy=.5*a*t^2, Dx=vx*t

The Attempt at a Solution



All attempts at consolidating this into one step have result in enormous ridiculous fractions that are very difficult to simplify. Things like v^4*cos^2(theta)*sin(theta) and large radical expressions. Any help wpuld be greatly appreciated!
 
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You might want to read up here: http://www.pa.uky.edu/~moshe/phy231/lecture_notes/projectile.html

Basically you're just trying to do the same thing except for a certain starting height which isn't 0.
 
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Thanks!
 
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