Parabolic Motion of a projectile

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SUMMARY

The discussion focuses on deriving equations for the parabolic motion of a projectile, specifically to connect maximum height and displacement with initial velocity. The relevant equations identified include R = (v_i² * sin(2θ_i)) / g for range and h = (v_i² * sin²(θ_i)) / (2g) for maximum height. The user seeks to determine initial velocity (v_i) and direction based on user-inputted maximum height and distance. This approach is essential for solving projectile motion problems in physics.

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Homework Statement

I'm trying to find a equation that will connect a object that is thrown to form a parabolic motion of a projectile. What I want to be able to sub it in is maxheight and displacement covered by the projectile


Homework Equations



I don't really know, maybe vi = vf + a*t?



The Attempt at a Solution



Went to google equations of it and some other sites, I won't list them all here because I searched almost all the sites.

http://www.ac.wwu.edu/~vawter/PhysicsNet/Topics/Vectors/ProjectilesMotion.html
 
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So you want to be able to say simply it's maximum height and its distance covered and find out its initial velocity and direction? Or the other way around?
 
The maximum height and distance user inputted. Find initial velocity. Direction is calculated already.
 
Do you mean using R={v_i^2\sin2\theta_i\over g} and h={v_i^2\sin^2\theta_i\over 2g} to get v_i ?
 

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