Asupply plane needs to drop a package of food to scientists working on a glacier in greenland. the plane flies 100 m above the glacier at a speed of 150 m/s. how far short of the target should it drop the package

The package should be dropped 678 m short of the target.

A package dropped from a plane which is moving at a speed v, has a horizontal velocity equal to the horizontal velocity of the plane. It has a parabolic trajectory, traversing a horizontal range x while it falls through a vertical height y.

The package has no initial vertical velocity, and it falls through a height y under the action of the acceleration due to gravity g.

Use the equation,

Write an expression for t, the time taken for the package to fall through y.

Substitute 100 m for y and 9.81m/s² for g.

In the time t  the package travels a horizontal distance x. The horizontal velocity of the package remains constant, since no force acts along the horizontal direction.

Therefore, the horizontal distance traveled by the package is given by,

If the package is released 678m before the target, the package would reach the scientists working in Greenland.

6 cos 34, 6 sin 34 trig