A missile fixed from ground level rises $x$ meters vertically upwards in $t$ seconds and $x=100 t-\f

Question

A missile fixed from ground level rises $x$ meters vertically upwards in $t$ seconds and $x=100 t-\frac{25}{2} t^2$. The maximum height reached is

Professor PC Thomas Classes · Answer

Derivative yields $t=4$. Maximum height is $200 	ext{ m}$.