Time and free fall

Question

A helicopter is ascending vertically with a speed of 5.40 m/s. At a height of 105 m above the Earth, a package is dropped from the helicopter. How much time does it take for the package to reach the ground?

Answer 1

equation of mtion: y = 5.40t - 4.9t² + 105 = 0; 4.9t² - 5.4t - 105 = 0; t = (2.7 ± √2.7² + 4.9·105)/4.9;

t = (2.7 + 22.84)/4.9 = 5.21 s