Cousin Throckmorton holds one end of the clothesline taut and wiggles it up and down sinusoidally with frequency 2.00 Hz and amplitude 0.075m. The wave speed on the clothesline is v=12m/s. At t=0, Throcky's end has maximum positive displacement and is instantaneously at rest. Assume that no wave bounces back from the far end.
(a) Find the wave amplitude A, angular frequency, period T, wavelength and wave number k.
(b) Write a wave function describing the wave.
(c) Write equations for the displacement, as a function of time, of Throcky's end of the clothesline and of a point 3.000m from that end.