A plane is flying horizontally with speed 244 m/s at a height 5670 m above the ground, when a package is thrown downward from the plane with a vertical speed v(initial) = 73 m/s.

Question

What horizontal distance is traveled by this package?

The acceleration of gravity is 9.8 m/s2 .
Neglecting air resistance, when the package hits the ground

Answer 1

The time to reach the ground from an altitude of 5670 meters derives from h = Vo(t) + g(t^2)/2 where Vo = 73m/s.

Therefore, 5670 = 73t + 4.9t^2 from which t = 27.373 sec.

The horizontal distance traveled is d = 27.373(244) = 6679m.