Given Distance, Gravity, air resistance, mass and initial velocity, create a formula for the angle required to launch an object at a target exactly 25,000 units away.

pls halp

Nevermind.

Angle = asin((Gravity * Distance) / Velocity^2)


Next question: How to compensate for differences in height

Angle1 = atan( Velocity * Velocity + sqrt( Velocity * Velocity * Velocity * Velocity - Gravity * (Gravity * Distance * Distance + 2 * Height * Velocity * Velocity)) / Gravity * Distance)
Angle2 = atan( Velocity * Velocity - sqrt( Velocity * Velocity * Velocity * Velocity - Gravity * (Gravity * Distance * Distance + 2 * Height * Velocity * Velocity)) / Gravity * Distance)

that is one fucking ugly equation. try making use of the Pow() function to clean up all those `Velocity * Velocity * Velocity * Velocity` equations.

This post was edited by AbDuCt on Apr 5 2013 09:00pm

You can literally google the forumalas for these online

and as long as you have 1 day of coding and alegrab1 you can make the equation

I was having trouble with what to search for. I kept getting formulas that only took in to account flat ground and not a difference in altitude. I found it though.



Yeah it is, lol. I didn't know how to do exponents in Expression 2 though, but turns out it's done like: Velocity^4

G =gravity() / tickrate
D = distance()
V2 = V^2
V4 = V^4
D2 = D^2
Radian1 = atan( V2 + sqrt( V4 - G * (G * D2 + Hoff * V2))) / G * D)
Radian2 = atan( V2 - sqrt( V4 - G * (G * D2 + Hoff * V2))) / G * D)
Angle1 = (Radian1 * 180) / pi()
Angle2 = (Radian2 * 180) / pi()

Did it like this and I can see exactly what's happening now

pencil and paper bro. 10th grade physics

1/2 * a t^2 + vt + x = 0

that'll give you the time it takes assuming you land at the same spot
you can use this time and v_horiz to determine how far you'll travel on level ground
for height differences, it's a different subproblem. break it down first until it's level.



use one of those two to determine initial velocity given the distance and final velocity

This post was edited by carteblanche on Apr 6 2013 09:54am

What i posted above solves height difference
And i have never taken physics, so..