Question

A plane is moving horizontally through the sky with speed v. A package is dropped from the plane and travels a horizontal distance x from the point of release to where it lands on a target. If air resistance is negligible, the height from which the package is released is

A) 1/2 gt²
B) 1/2gt²
C) 1/2g(2vx)
D)1/2 g(vx)²

Answer 1

The height from which the package is released can be determined by using the equation h = ½gt² and rearranging the equation to solve for h.

Step-by-step explanation:

To determine the height from which the package is released, we can use the equation h = ½gt², where h is the total height and time to drop to the ground. Rearranging the equation, we can express it in terms of t: t = √(2h/g). Substituting x for t-1, we get x = √(2h/g) - 1. Solving for h, we have h = (x + 1)²(g/2).