A pilot releases a package from a plane flying horizontally at a constant speed. When the package reaches the ground below, what is the horizontal location of the plane with respect to the package? Assume air resistance is negligible.

Respuesta :

Answer:

Horizontal position of the plane with respect to the package would be the same.

Explanation:

When the package reaches the ground, the horizontal position of the plane with respect to the package would be the same. This is because before the package was released from the plane it already had a horizontal motion, which is the same as that of the plane in terms of speed, and when the package was released it maintained this state of horizontal motion until it reached the ground. Furthermore assuming air resistance is negligible and if the package's motion is approximated as a projectile motion then there would be no horizontal acceleration and this means a constant velocity in the horizontal direction.

 Take note that while the package falls, there would be an increase in the vertical acceleration due to the force of gravity acting in the package.

If the package's motion could be approximated as projectile motion (that is, if the influence of air resistance could be assumed negligible), then there would be no horizontal acceleration. In the absence of horizontal forces, there would be a constant velocity in the horizontal direction. This explains why the package would be located directly under the plane from which it is dropped.