Good formula for projectile motion at any point x.

[Austin J]

I've been looking around and everything I find is about finding greatest point in height and range of x. That's nice and all, but what I'm looking for is something where I can find y at any point x, much like a quadratic equation. Not just x intercept and vertex. Anyone know of such?

[Zhuge]

Do you want to include air resistance or are you just plotting the "ideal" arc? If it's the latter, the initial velocity's x component is the only thing that affects it's x position and the y component is altered over time only by gravity.

[helios]

No friction:
h(t) = -g/2 t^2 + initial_vy t + initial_h
x(t) = initial_vx t + initial_x

[abhishekm71]

Its clear from helios' formula but just to reiterate it is basically a parabolla.

[Austin J]

Yeah indeed it is a parabola, I basically just needed something like helios has provided. I don't believe I need to worry about air resistance.

Thanks guys, I appreciate the help very much.