Two gymnasts are running toward each other in a floor routine, and they plan to precisely time a flip to stay synchronized for t
he audience. The path of the gymnasts is parabolic and modeled by the following equations, where y is the height of the flip and x is the time in seconds: y = – (x – 5)2 + 3
y = –3(x –3)2 + x + 1
30 POINTS !! To make sure the flip is in unison, after how many seconds should the flip occur?