Projectile Motion Derivation 1. The problem statement, all variables and given/known data I am supposed to derive an equation that ends up giving me a solution for the initial muzzle velocity of the projectile launcher. I am given different sets of theta and the recorded distance for the x distances. The height of the projectile launcher is also .25m. 2. Relevant equations I used dx = Vixt, dy = viyt2 + (1/2)at2 to somewhat isolate the Vix and Viy variables. 3. The attempt at a solution After isolating the variables, I plugged them into the a2 + b2 = c2 formula (cause the two components form a right angle to find the overall velocity) i got this equation.. sq((dx2 + (dy-(1/2)at2)2)/t2) = Vi the thing I am frustrated atm is that I am supposed to integrate theta into the equation but I cannot find a way to do this. it seems like the only varying variable would be dx, but now that i look at it again t should be a varying variable as well? and dy? so now it's more of a mess than an equation. would love help, this has been giving me a headache for a while. *edit: if it helps i calculated that a projectile i nthe projectile launcher is in there for only .224s.