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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,

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asked 2021-01-05
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 horizontally with constant speed of 220 mph at an altitude of 800 m. The positive x and y directions are defined. For all parts, assume that the "island" refers to the point at a distance D from the point at which the package is released, as shownin the figure. Ignore the height of this point above sea level. Assume that the acceleration due to gravity is g=9.80 .

Answers (1)

2021-01-06
a)time to reach the ground \(\displaystyle{t}=\sqrt{{{\frac{{{2}{h}}}{{{g}}}}}}={12.7775}\) sec
b) velocity of the packet \(\displaystyle{V}=\sqrt{{{u}^{{2}}+{g}^{{2}}{t}^{{2}}}}={3.5398}\cdot{10}^{{5}}\ \frac{{m}}{{s}}\)
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