Two different waves moving in the same direction on the same string (where x is in cm and t is in s) are out of phase by +Π/3 radians when they start to interfere. The waves are described by the functions below (where x is in cm and t is in s). They start to interfere at x=0 cm and t=0 s.
y1 = 40.0 cm sin (8.00x - 30.0t)
y2 = 30.0 cm sin (5.00x - 16.0t + Π/3).
Determine the displacement (cm) of an element of the string at x =12.0 cm when t=3.00 s.