Physics man 8?

Question

8. A helicopter is ascending vertically with a speed of 5.60m/s. at a height of 115m above the earth a package is dropped from a window. How much time does it take for the package to reach the ground?

Answer 1

115 = - 5.60t + 9.81t^2 / 2

9.81 t^2 / 2 - 5.60t - 115 = 0

The positive root is:

t = (5.60 + sqrt(5.60^2 + 2 * 9.81 * 115)) / 9.81

= 5.45 s.