Most HSC past papers asked to find the maximum height of the projectile would reach from the equation: y=vtsin(\alpha )-\frac{1}{2}gt^2 Show that y_{max}=\frac{v^2sin^2\alpha }{2g} My question is: Is it acceptable to use \frac{\Delta _{y}}{-4a} to find maximum height? Which is: \Delta _{y}=v^2sin^2\alpha \therefore y_{MAX}=\frac{v^2sin^2\alpha }{{-4}\frac{-1}{2}g}=\frac{v^2sin^2\alpha }{2g}