Projectile Motion airplane final speed

AI Thread Summary
An airplane is dropping a box from 914 m at a speed of 116 km/hr, which converts to 32.222 m/s for the horizontal component. The vertical component of the velocity is calculated using the equation Vfy^2 = Voy^2 + 2ay, resulting in -133.845 m/s, indicating an error in the calculation. The discussion emphasizes the need to combine both the x and y components to determine the final speed of the supplies upon landing. Accurate calculations and understanding of projectile motion principles are essential for solving the problem correctly.
black_hole
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Homework Statement



An airplane flying 914 m above the ocean at 116 km/hr is supposed to drop a box of emergency supplies to the survivors of a shipwreck on an island. At what final speed will the supplies land on the island?


Homework Equations





The Attempt at a Solution



So Vx = 32.222 m/s, is Voy = 0 m/s?
a = -9.8 m/s/s and y = -914 m?

So I did Vfy^2 = Voy^2 +2ay and got -133.845 m/s, but that is not right...
 
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black_hole said:
So I did Vfy^2 = Voy^2 +2ay and got -133.845 m/s, but that is not right...
That's just the y-component of the velocity. Combine it with the x-component to figure out the speed.
 

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