Gabriela Gallegos

2023-03-03

The equation describes a water wave moving in a straight line on a lake.
$y\left(x,t\right)=3.75\mathrm{cos}\left(0.450x+5.40t\right)$
where y is the displacement perpendicular to the undisturbed surface of the lake. How much time does it take for one complete wave pattern to go past a fisherman in a boat at anchor?

Troncanizxl

On comparing the equation to $y=A\mathrm{sin}\left(kx+-wt+\varphi \right)$. We get $w=5.40{s}^{-1}$
The time required for one complete wave to go part the fisherman, since the fisherman is at rest, is one time period.

A full wave takes 1.16 s to go past the fisherman.

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