Question

A rocket on a computer screen has a path modeled by the equation h=-t2+3t+10 where t is time in seconds and h is the height above a platform and is in computer units. Find how long the rocket takes to reach the platform.

Answer 1

t=3+−4h+492,3−−4h+492t=\frac{3+\sqrt{-4h+49}}{2},\frac{3-\sqrt{-4h+49}}{2}t=​2​​3+√​−4h+49​​​​​,​2​​3−√​−4h+49​​​​​​​​​​