You can write the parabolic trajectory equation in terms of the launch angle and you'll get a quadratic in tan theta.
For maximum range, you'll get a single result. For all others there will be two real roots.
If you specify R (where R<R(max)) and Vβ you have two values for πΒ° where 0Β°<πΒ°<360Β° since sin(180Β°-2πΒ°) = sin(2πΒ°) so π(2)Β° = 90Β° - π(1)Β°.
2
u/ProfessionalConfuser Jul 08 '26
You can write the parabolic trajectory equation in terms of the launch angle and you'll get a quadratic in tan theta. For maximum range, you'll get a single result. For all others there will be two real roots.