A relief package is released form a helicopter at 1600 feet. The height of the package can be modeled by h=16t^2 + 1600, where h is the height of the package in feet and t is the time in seconds. The pilot wants to know how long it will take for the for the package to hit the ground.
The equation is h(t) = -16t2 + 1600. When the package hits the ground, h(t) = 0: 0 = -16t2 + 1600 To solve by factoring: 0 = -16(t2-100)0 = -16(t+10)(t-10) t = -10 and +10 seconds.
Since we aren't interested in negative time, t = 10 seconds.
