How High Must the Plane Fly to Drop Supplies Accurately?

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To determine the altitude from which the plane must drop the care package, the horizontal distance of 521 meters and the plane's speed of 59.1 m/s are key factors. The time of flight can be calculated using the formula t = distance/speed, yielding approximately 8.82 seconds. Assuming the initial vertical velocity (Viy) is 0 m/s, the equation yf = yi + Viyt + 1/2at^2 can be applied, where 'a' is the acceleration due to gravity. The solution involves solving for the initial height (yi) to ensure the package lands accurately in the lake. The problem highlights the importance of understanding projectile motion in real-world applications.
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Homework Statement



Need help solving this problem

An emergency relief plane is dropping a care package from a plane to a group of medical personnel working for a relief agency in an African village. The package is designed to land in a small lake, inflate an attached raft upon impact, and finally resurface with the raft side down. The plane will be moving horizontally with a ground speed of 59.1 m/s. The package will be dropped a horizontal distance of 521 m from the intended target location. At what altitude above the pond must the plane be flying in order to successfully accomplish this feat?

yf=0m yi=? Viy=? t=8.82s


Homework Equations


yf=yi+Viyt+1/2at^2

The Attempt at a Solution

Not sure where to go from here
 
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Nm I solved it assuming Viy=0m/s
 
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