Question

Alex, a rescue pilot drops a survival kit while her plane is flying horizontally at an altitude of 1800.0 m with a forward velocity of 140.0 m/s. A group of lost Antarctica explorers is below on the ground.
How far in front of the explorers should Alex drop the supplies?

Answer 1

The time of flight:

$$t=\sqrt{\frac{2h}{g}}$$

$$d=vt=v\sqrt{\frac{2h}{g}}=140\sqrt{\frac{2(1800)}{9.8}}=2683\ m$$