solve v = v0 * (1-(t/t).^4).^2 in matlab

To solve the equation v = v0 * (1-(t/t).^4).^2 in MATLAB, we can follow the steps below:

1. Define the variables v0 and t with appropriate values.
2. Define the anonymous function eqn that represents the equation using the @ symbol and == operator.
3. Use the fsolve function to solve the equation, providing the anonymous function eqn as the first argument and an initial guess for t as the second argument.

Here is the MATLAB code to solve the equation:

main.m
% Define variables
v0 = 10;
t = linspace(0, 1, 100);

% Define equation
eqn = @(t) v - v0 * (1 - (t ./ t).^4).^2;

% Solve equation
t_sol = fsolve(eqn, 0.5);

% Output solution
disp(['Time at which velocity reaches v = ', num2str(v), ': ', num2str(t_sol)])
257 chars
13 lines

In this code, we use linspace to create an array of t values from 0 to 1, and we provide an initial guess of 0.5 for fsolve. The output is the value of t at which the velocity v reaches a certain value.