Question

A hooligan throws a stone vertically down with an initial speed of 17 m/s from the roof of a building 51 metres above the

ground. How long in seconds does it take the stone to reach the ground?

Answer 1

Step-by-step explanation:

impact velocity is

√(18² + 2(-9.8)-51) = 36 m/s

average velocity is (17 + 36)/2 = 26.5 m/s

t = d/v = 51 / 26.5 = 1.9 s

or

if ground is origin and UP positive

0 = 51 - 17t - ½(9.8)t²

quadratic formula

t = (17 ±√(17² - 4(-4.9)(51))) / (2(-4.9))

t = (17 ± 36) / -9.8

t = - 5.4 s which we ignore as the stone is not thrown yet

or

t = 19 s