A relief airplane is delivering a food package to a group of people stranded on

Question

A relief airplane is delivering a food package to a group of people stranded on a very small island. The island is too small for the plane to land on, and the only way to deliver the package is by dropping it. The airplane flies horizontall...y with constant speed of 240 at an altitude of 650. For all parts, assume that the "island" refers to the point at a distance from the point at which the package is released, as shown in the figure. Ignore the height of this point above sea level. Assume that the acceleration due to gravity is = 9.80 . After a package is ejected from the plane, how long will it take for it to reach sea level from the time it is ejected? Assume that the package, like the plane, has an initial velocity of 240 in the horizontal direction.

Explanation / Answer

Given that vi = 240 m/s h = 650 m g = 9.8 m/s^2 After a package is ejected from the plane, how long will it take for it to reach sea level from the time it is ejected? Assume that the package, like the plane, has an initial velocity of 240 in the horizontal direction. t = [2h/g]^1/2 = [ 2 * 650 / 9.8]^1/2 = 11.517 sec

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