The kinetic energy associated with a propagating wave 1s 306 kl/m. If the wave period 15 9 s and the wave height 1s 2 m: (a) Calculate the wave length and water depth. and the maximum horizontal velocity at the seabed. (b) Calculate the wave celenty, group velocity, total energy and power associated with the wave; (c) Recalculate the quantities in (b) for the same wave if the water depth has changed to be (1) 4 m and (11) very deep (1.e. far offshore). The 'same' wave imphes that the period has not changed and the wave has simply propagated into a different water depth. [7 marks] Note: You may assume that refraction and mass transport are negligible. You may also assume the density of seawater is 1025 kg/m\