Frequency of waves

Question

At the point x = 0 m and time t = 0 s a particle has a displacement of 0.025 m and a positive
particle velocity. After 5/6 s the particle reaches its maximum positive
displacement of 0.05 m If the wave is of the form  y(x,t) = A sin (kx - wt +Φ) and its
speed is 15 ms^-1

 

what is the frequency of the wave if its initial phase is π/6

Answer 1

   The height of the right traveling wave grows from half its amplitude (0.025 m) to its full amplitude (0.050 m) in 5/6 s.  How much of a wavelength is this?  Recall the definition of a wave's frequency as the number of wavelengths passing a certain point (x = 0 m in this case) per unit time.