Throwing a ball upward on top of a building, find height of building

ncwalke2

1. The problem statement, all variables and given/known data
Please help me with this problem:
Rock is thrown straight up with a velocity of 24 m/s from the edge of a building. The rock is moving at 43 m/s when it strikes the ground. Acceleration is 9.8 m/s^2. How tall is the building?



I know it involves the equations of motion. I think the first step is solving for the time with the quadriatic eq.
2. Relevant equations


3. The attempt at a solution

Anden

Figure out the time, then the displacement. Two different equations. You dont need to solve a quadratic equation.