Zack is on his school's color guard and is practicing throwing and catching his flag. He throws the flag into the air from a height of 5 feet at a velocity of 30 feet per second. After the flag starts to come back down, he catches it 7 feet above the ground.

To the nearest tenth of a second, how long is the flag in the air before Zack catches it?

Hint: Use the formula h=16t2+vt+s.