use matlab A certain jet-powered ground vehicle is subjected to a nonlinear drag force. Its equation of motion, in British units, is\[ 50\dot{v} = f - \left(20v + 0.05v^2\right) \]Use a numerical method to solve for and plot the vehicle’s speed as a function of time if the jet’s force is constant at 8000 lb and the vehicle starts from rest.

The jet force is, Initial condition is, To find:Using the numerical method to find and solve the given differential equation. This problem can be solved using the Fourth-Order Runge-Kutta MethodThe algorithm is shown below,clc;clear all;close all;%functionf=@(t,v)8000/50-1/50*(20*v+0.05*v^2);%step sizeh =0.1;%time domaint=0:h:15;%initial conditionv(1) = 0;for i=1:length(t)-1k1= f(t(i),v(i));k2 = f(t(i)+h/2,v(i)+(h/2)*k1);k3 = f(t(i)+h/2,v(i)+(h/2)*k2);k4 = f(t(i)+h,v(i)+h*k3);v(i+1) = v(i) + (h/6)*(k1+2*k2+2*k3+k4);endplot(t,v)xlabel('time')ylabel('velocity')The given problem is solved by a numerical method using Fourth-Order Runge-Kutta Method

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A certain jet-powered ground vehicle is subjected to a nonlinear drag force. Its equation of motion, in British units, is 50v=f-(20v+0.05v²) Use a numerical method to solve for and plot the vehicle's speed as a function of time if the jet's force is constant at 8000 lb and the vehicle starts from rest.

A certain jet-powered ground vehicle is subjected to a nonlinear drag force. Its equation of motion, in British units, is 50v=f-(20v+0.05v²) Use a numerical method to solve for and plot the vehicle's speed as a function of time if the jet's force is constant at 8000 lb and the vehicle starts from rest.

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use matlab

A certain jet-powered ground vehicle is subjected to a nonlinear drag force. Its equation of motion, in British units, is

\[ 50\dot{v} = f - \left(20v + 0.05v^2\right) \]

Use a numerical method to solve for and plot the vehicle’s speed as a function of time if the jet’s force is constant at 8000 lb and the vehicle starts from rest.

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