Solve Kinematics in 2D: Rocket Clears 11m Wall

[Cheddar]

Homework Statement

A rocket is fired at a speed of 75m/s from ground level, at an angle of 60degrees above the horizontal. The rocket is fired toward an 11-m-high wall, which is located 27m away. By how much does the rocket clear the top of the wall?

Homework Equations

final velocity = initial velocity + (acceleration * time)
displacement = (initial velocity * time) + 1/2 * acceleration(gravity) * time(squared)

The Attempt at a Solution

So, I need to find the final position where the rocket will land and the time it takes to do so.
If final velocity = 0 then I think I can go from there. I just don't know if that would be right.

 

[rock.freak667]

I think you'd need to find how high the rocket is at 27m away. Then if that is bigger than 11m, you would subtract 11 from the value you got.

so you need to find an equation relating vertical displacement (y) and horizontal displacement(x)

 

[Cheddar]

Got it. Thank you.