Question

You want to drop a bundle of all your class notes, tests, quizzes, worksheets, and term papers on the 50 yard-line of Lynn C. Adams field during half-time of the first playoff game from a single engine Piper Cub. You fly at a steady height of 491.0 meters and at a speed of 65.0 m/s. How long will it take for the bundle to reach the ground? And how far in front of the 50 yard-line must the bundle be dropped?

Answer 1

Vertical problem first
Hi = 491 meters, Vi = 0
h = 491 + 0 t - 4.9 t^2
at h = 0
4.9 t^2 = 491
t^2 = 100
t = 10 seconds falling
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horizontal problem,
go x meters in 10 seconds at 65 meters/ second
65 * 10 = 650 meters