A human wave, During sporting events within large, densely packed stadiums, spec

Question

A human wave, During sporting events within large, densely packed stadiums, spectators will send a wave (or pulse) around the stadium (the figure). As the wave reaches a group of spectators, they stand with a cheer and then sit. At any instant, the width w of the wave is the distance from the leading edge (people are just about to stand) to the trailing edge (people have just sat down). Suppose a human wave travels a distance of 892 seats around a stadium in 51.0 s, with spectators requiring about 2.00 s to respond to the wave's passage by standing and then sitting. What are the wave speed v and width w?

Explanation / Answer

"a human wave travels a distance of 882 seats around a stadium in 51 s
velocity = (892 seats)/(51 s) = 17.4 seats/second

Note, velocity = seats/seconds
seats = velocity x seconds

in 2 seconds,
seats =17.4 x 2=34.9 seats

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