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 horizontally with constant speed of 280 mph at an altitude of 500 m. The positive x and y directions are defined in the figure. 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 shown in the figure. Ignore the height of this point above sea level. Assume that the acceleration due to gravity is g = 9.80 .

What is the speed v(f) of the package when it hits the ground?
Express your answer numerically in miles per hour.

Explanation / Answer

280 mph = 125.1712 m/s You need to find the resultant vector of the x and y component velocities x component of velocity is constant = 125.1712m/s Y comp of velocity: Vf^2 = Vi^2 + 2ad Vf^2 = 0 + 2(9.8)(500) Vf= 98.99m/s a^2 + b^2 = c^2 125.1712^2 + 98.99^2 = c^2 c= 159.586 m/s = 356.984682 mph Hope this helps! Rate lifesaver :)

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