A wave of amplitude at = 20 cm in water of depth h = 3 m has wavelength A = 10 m, and the wave has a lateral extent L = 50 m (see diagram on the board). Calculate the following: I234 acos[2x] dx. 4J4 ,1 (ii) The mass of the water in the elevated part of the wave (mass = volume X density) (i) The elevated area (shaded) of the wave, i.e., You may assume that the density of water is 1000 kg/m3_ E - l pgaZL (iii) The mean energy per wavelength A 2 ' You may assume that the acceleration due to gravity is 8 = 9-8 m/s? l.-'2 v = [gang] _ (iv) The wave speed 27? it (V) Compare your result in (iii) with the kinetic energy per unit length K = mvz / 2L for a Ford Fiesta of mass 1200 kg and length 3 m travelling at the speed calculated in (iv) above. - 1/4