Answer Happy

please please please don't copy from answers. If you don't know the answer. Please leave the question for another expert.
3. (25 pts.) The figure is a representation of the effects of the wave on a small body of water connected to the ocean by a channel. The affects of a very large wave can be modeled as a step input of the inflow rate as qin(t) = 75us(t) . Use the parameters A = 10 ft2 and R = 8ft-1 sec-1 sec (a) Given the system ODE shown, find the appropriate response equation h(t) in terms of A, R, S, ho, and t. (You are not required to re-derive the solution to this ODE. You can use the general response equation from your notes.) (b) Given the initial liquid height ho = 5 ft. Find the height of the liquid at time t = 10 seconds. (c) After 10 seconds (t >= 10) the wave is gone and the flowrate returns to zero (qin(t) = 0). At that moment the liquid level is equal to the height you found in part a) as the body begins to drain. How long does is take for the water level to return to h = 4ft? = (d) Sketch the response h(t) from t = 0 to t = 20 seconds on the graph provided. lin(t) = Q Ocean Body h(t) fА lin = 0 Ocean Body h(t) ODE: AR" + gh = Rain 32