Motion Problem (2-D): Find Pushoff Speed & Time in Air

[sweatband]

Homework Statement

The cliff divers of Acapulco push off horizontally from rock platforms about 35 m above the water, but they must clear rocky outcrops at water level that extend out into the water 5.0 m from the base of the cliff directly under their launch point.

What minimum pushoff speed is necessary to clear the rocks?
How long are they in the air?

Homework Equations

Yf = Yi + Vt + 0.5(9.81)t^2

The Attempt at a Solution

I'm having trouble relating time to the x & y components because I cannot see how the velocity is found.

 

[sweatband]

I found it out!

The time can be found by using the y-component equation, setting the velocity & initial y-position both to 0. We know the x-distance traveled is 5 m, so the velocity is 5 m divided by the value for time that was found.