Rock is dropped, solve the system

Question

The elevation of a rock dropped from the top of a building that is 300 meters tall is modeled by h = 300 – 4.9t2, where t is the time in seconds after the rock was dropped and h is its elevation in meters. At the same time, a bird in front of the building is rising into the air with an elevation described by h = 2.7t + 41. Solve the system of equations, and interpret the solution(s). Is/are the solution(s) valid? Why or why not?

Answer 1

300 - 4.9t² = 2.7t + 41

4.9t² + 2.7t - 259 = 0

 

Solve for t, then plug the answer into either equation to find h.