The terminal velocity of a spherical particle falling through a fluid is given by the equation: vt=3CD4g(pp)Dp Where The coal particle density =1800kg/m3 Density of water =994.6kg/m3 Gravitational constant g=9.80665m/s2 CD= the coefficient of drag . Dp= the diameter of the coal particle (m) The viscosity =8.931104kg/ms The coefficient of drag is a function of the particle Reynolds number and is given by: CD=(Re24)(1+0.14Re0.7)Re=Dpvt For a given particle of coal falling through water, find the terminal velocity v1(m/s) using the Matlab fzero function for 4 separate particle diameters. Set up a while loop in which the particle diameter is varied as follows: 0.15mm,0.20mm,0.25mm&0.30mm. (Hint you must convert from mm to m ) Use the fzero function within the loop to find v, by passing the particle diameter and an initial guess (use vt=0.03m/s ) to the function file for each iteration. Define and save the function file as terminal.m to solve the problem. Within the loop save the values of teminal velocity v, and particle diameter Dp in a new array and plot the terminal velocity as a function of particle diameter for each value of the diameter mithout using the hold on command. Also print cut the terminal velocit; using an forintf statement in the following format: The terminal velocit is , iksen for asxmm particle