Projectile Trajectories
Description
Trajectories of a projectile launched from Origin towards Target
v = fixed starting velocity
v' = varying starting velocity optimized for fixed angle
θ = Fixed launched angle
θ' = Lowest launch angle at starting velocity to hit target
θ'' = Highest launch angle at starting velocity to hit target
f(x) = red curve = trajectory of the projectile at velocity v and angle θ
h(x) = purple curve = trajectory of the projectile at velocity v and angle θ' (lowest angle with fixed velocity)
h'(x) = blue curve = trajectory of the projectile at velocity v and angle θ'' (highest angle with fixed velocity)
q(x) = green curve = trajectory of the projectile at velocity v' and angle θ (varying velocity for fixed angle)
based on: https://en.wikipedia.org/wiki/Trajectory_of_a_projectile