Question

An Alaskan rescue plane traveling 50 m/s drops a package of emergency rations from a height of 125 m to a stranded party of explorers. Where does the package strike the ground relative to the point directly below where it was released? The acceleration of gravity is 10 m/s7.

Answer 1

The package strikes the ground 250 meters away from the point directly below where it was released.

Step-by-step explanation:

First, we need to find the time it takes for the package to reach the ground. We can use the equation h = (1/2)gt^2, where h is the initial height, g is the acceleration due to gravity, and t is the time. Plugging in the values, we get 125 = (1/2)(10)(t^2). Solving for t, we find that t = 5 seconds.

Next, we can use the equation d = vt, where d is the distance, v is the velocity, and t is the time. Plugging in the values, we get d = (50)(5) = 250 meters. Therefore, the package strikes the ground 250 meters away from the point directly below where it was released.