The runway rush
Classical Mechanics
Level
pending
An engineer is designing the runway for an airport. Of the planes that will use the airport, the lowest acceleration rate is likely to be 3 m/s2. The takeoff speed for this plane will be 65 m/s. Assuming this minimum acceleration, what is the minimum allowed length (In m)for the runway?
The answer is 704.
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1 solution
vi = 0 m/s
vf = 65 m/s
a = 3 m/s2
Find:
d = ?? vf2 = vi2 + 2 a d (65 m/s)2 = (0 m/s)2 + 2 (3 m/s2) d
4225 m2/s2 = (0 m/s)2 + (6 m/s2)*d
(4225 m2/s2)/(6 m/s2) = d
d = 704 m