A speed ramp at an airport is basically a large conveyor belt on which you can s

Question

A speed ramp at an airport is basically a large conveyor belt on which you can stand and be moved along. The belt of one speed ramp moves at a constant speed such that a person who stands still on it leaves the ramp 68 s after getting on. Clifford is in a real hurry, however, and skips the speedramp. Starting from rest with an acceleration of 0.34 m/s2, he covers the same distance as the ramp does, but in one-fourth the time. What is the speed at which the belt of the ramp is moving? ______m/s

Explanation / Answer

Let the speed of the ramp is u m/s =>s(ramp) = u x t = 61u ------------(i) By s(Clifford) = ut + 1/2at^2 =>61u = 0 + 1/2 x 0.30 x (61/4)^2 [as s(ramp) = s(Clifford)] =>u = 0.57 m/s

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