The mathematical forms for the three sinusoidal traveling waves are given by wave 1: y(x,t) = (2 cm) sin (3x – 6t) wave 2: y(x,t) = (3 cm) sin (4x – 12t) wave 3: y(x,t) = (4 cm) sin (5x - 11t) where xis in meters and t is in seconds. Of these waves:
a. wave 2 has the greatest wave speed and wave 1 has the greatest maximum transverse string speed
b. wave 3 has the greatest wave speed and wave 2 has the greatest maximum transverse string speed
c. wave 2 has the greatest wave speed and wave 3 has the greatest maximum transverse string speed
d. wave 1 has the greatest wave speed and the greatest maximum transverse string speed
e. wave 3 has the greatest wave speed and the greatest maximum transverse string speed