How Does Projectile Height Affect Time of Flight?

[janome]

Homework Statement

A projectile fired from y=0 with initial speed Vo and initial angle (-) lands on a different level, y=h. Show that the time of flight of the projectile is T=1/2To(1+sqrt(1-h/H)) where To is the time of flight for h=0 and H is the maximum hieght of the projectile.

Homework Equations

basic 2d motion equations

The Attempt at a Solution

I need a hint of where to start on this thing. I'm not even sure what its asking me to do.

 

[Chi Meson]

Start by finding a statement for To, that is, the time of flight for a projectile that lands at the same level as it is launched.

Then find a statement for time of flight of a projectile that lands at a different level, h.

Then play around with those two statements until they fit together in the way that is asked.

Don't ask me why. The purpose must be to force you to play with the algebra. IT's a useful skill. Think of it as a puzzle.