A sinusoidal water wave travels along the positive x-direction with a frequency of 450Hz and a speed of 1350ms−1. At x=0, the displacement of the surface is zero at t=0 and attains its first maximum positive value after an interval of 18001s. The amplitude of the wave is 3.0mm.
(a) Write the complete equation describing the displacement y(x,t) of the wave, expressing all numerical coefficients in SI units.
(b) Using this equation, calculate the displacement, particle velocity and particle acceleration of the point on the surface located at x=0.25m at the instant t=2.0ms.