Create a quadratic equation then solve the equation with a related function. You can use a table, graph, or graphing calculator.

A skydiver jumps out of a plane 5,000 feet above the ground and her parachute opens 3,000 feet above the ground. The function h(t) = -16t^2 + 5,000, where t represents the time in seconds, gives the height h, in feet, of the skydiver as she falls. When does her parachute open? Round to the nearest second.

Respuesta :

Her parachute opens when h(t) = 3,000.
3000 = -16t^2 + 5000
16t^2 = 5000 - 3000 = 2000
t^2 = 2000 / 16 = 125
t = sqrt(125) = 11 seconds.