A mass on a spring undergoing SHM oscillates vertically at an amplitude of $25\mathrm{.}0$ cm$.$ It is tied to a piece of string, and creates a wave traveling to the right at a speed of $16\mathrm{.}0$ m$/$s and frequency of $3\mathrm{.}0$ Hz$.$ The piece of string is fixed at the other end. a$.)$ What is the wavelength of the wave produced? $(5$ pts$)$ b$.)$ Write the wavefunction for the wave the SHM produces in terms of x$,$t and appropriate constants. $(6$ pts$)$ c$.)$ What is the shortest possible length of the string in order to create a standing wave with this configuration?