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## Homework Statement

This question is part of a longer problem. I know the answer, but I don't know how they got their. Please provide a detailed explanation. Thanks.

Question: Find the maximum speed perpendicular to the wave's direction of travel (the transverse speed).

y(x,t)=2sin(4x-2t)

## Homework Equations

The book gives a hint: find amplitude of dy/dt. Therefore, dy/dt=2cos(4x-2t)

## The Attempt at a Solution

Period= pi

Lambda= pi/2

Frequency= 1/pi

v=1/2