Given the dispersion relation for surface gravity waves, as derived from the equation of motion, and where the symbols have their usual meanings, show that for short or deep water waves, and long or shallow water waves. Hence, determine the respective phase speed, ð‘short and ð‘long. You may use the following: for short waves, tanh ð‘˜ð» = 1 within 0.5%, and for long waves, tanh ð‘˜ð» = ð‘˜ð» within 3%.