Velocity and Distance while skiing

[Rick A. Joseph]

I've encountered this one physics problem that I can't quit figure out:

"While skiing, Ellen encounters an unexpected icy bump, which she leaves horizontally at 12.0 m/s. How far out, horizontally, from her starting point will Ellen land if she drops a distance of 7.00 m in the fall?"

Can somebody please help me out!

 

[Integral]

You need to find how long it will take to fall 7m. Use that time and the given horizontal velocity to find how far forward the skier travels.

 

[Tide]

What have you done so far on the problem?

This is how far she falls: y = - \frac {1}{2} g t^2

Find out how long it takes her to fall 7m. You should then be able to find out how far she moves horizontally.