Physics golf: inclined shooting
Java
Works for radians only
double q(double a, double b, double u){
return (Math.abs(((-Math.tan(a)+(Math.tan(b)))*(u*u)*(0.2*(Math.cos(b)*Math.cos(b))))));
}
Golfed Version (Thanks to Peter)
double z=u*Math.cos(b);return(Math.tan(b)-Math.tan(a))*z*z/5;
Maths Used:
q=u Cos(B) t
q tan(A) = u sin (B) t - .5 * 10 * t^2
- tan (A) + tan(B) = 5q/u^2 sec^2 (B)
q = [ - tan(A) + tan (B) ] u^2
---------------------
sec^2(B)*5
Haskell (37 35)
Based on Aman's solution:
q a b u=(tan a+tan b)*u*u*cos b^2/5
I think, this problem isn't real code-golf, as it is more implementing a formula than really doing some algorithm.
Python3 - 65 chars
from math import*
f=lambda α,β,u:(tan(α)+tan(β))*u*u*.2*cos(β)**2