An airplane dropping supplies to northern villages that are isolated by severe blizzards and cannot be reached by land vehicles. The airplane is flying at an altitude of 785m and at a constant horizontal velocity of 53.5 m/s. At what horizontal distance before the drop point should the co-pilot drop the supplies so that they will land at the drop point?

(neglect air friction).

2 answers

How long does it take to drop 785m?

4.9t^2 = 785

Then the horizontal distance traveled in that time is 53.5t
time to ground is 785/4.9=12.66
drop point 53.5*12.66 = 676.7 m before target