Question: Given the parameters set in the template below, create a script that uses Euler's method to chart the height of water in the tank (y


Given the parameters set in the template below, create a script that uses Euler's method to chart the height of water in the tank (y in the diagram below) of Pliney's fountain. Use a time-step of 0.01 seconds and investigate from t=0 to t=100 seconds. Assume the tank is initially empty. Plot the resulting relationship. Rt Qin. y_high dy_lin (C2gy * ttr2) * f dt TER y_low r y = 0 Script 4 1 %% Parameters and initial conditions 2 Q_in=50*10^-6; % Flow in m^3/s 3 Rt=0.05; % Tank radius in m y_high=0.1; % high water mark in m 5 r=0.007; %outlet radius in m 6 C=0.6; % dimensionless constant 7 y_low=0.025; % low water mark in m 8 g=9.81; % gravitational constant in m/s^2 % initial water level in m 10 9 y=0
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