The mathematical forms for the three sinusoidal traveling waves are given by

wave $1$: $y(x,t)=(2cm)sin(3x-6t)$

wave $2$: $y(x,t)=(3cm)sin(4x-12t)$

wave $3$:$y(x,t)=(4cm)sin(5x-11t)$

where $x$ is in meters and $t$ is in seconds. Of these waves:

wave $2$ has the greatest wave speed and wave $3$ has the greatest maximum transverse string speed

wave $3$ has the greatest wave speed and the greatest maximum transverse string speed

wave $1$ has the greatest wave speed and the greatest maximum transverse string speed

wave $3$ has the greatest wave speed and wave $2$ has the greatest maximum transverse string speed

wave $2$ has the greatest wave speed and wave $1$ has the greatest maximum transverse string speed