A rescue pilot drops a survival kit while her plane is flying at an ultitude of 2500m with a forward velocity of 95m. If the air friction is disregarded, how far advance of the starving explorer’s drop zone should she release the package?

Approximately , assuming that .

Explanation:

Let denote the time required for the package to reach the ground. Let and denote the initial and final height of this package.

.

For this package:

Solve for , the time required for the package to reach the ground after being released.

.

.

Assume that the air resistance on this package is negligible. The horizontal ("forward") velocity of this package would be constant (supposedly at .) From calculations above, the package would travel forward at that speed for about . That corresponds to approximately:.

Hence, the package would land approximately in front of where the plane released the package.