Question

0sts10 1100-5t 10<ts20 Write a matlab code to calculate velocity v at: v(t) = 1. step size of time 1 s 2. step size of time-0.5 s 3. tabulate values 4. plot both

Answer 1

Matlab Code

clc clear all close all % Defining the step sizes step_size1 = 1; step_size2 = 0.5; % Getting the time values of respective step sizes t1 = 0 : step_size1 : 20; t2 = 0 : step_size2 : 20; % Preallocating the velcity points with zeros vt1 = zeros(1, numel(t1)); vt2 = zeros(1, numel(t2)); % Calculating the velocity points with step size = 1s of time k = 1; fprintf('\n *** Step size = 1 s ***\n'); fprintf('\nTime (s)\tVelocity (m/s)\n\n'); for ii = 1:numel(t1) if ii >= 0 && ii <= 10 % for 1st condition in limit vt1(1, k) = 11 * t1(ii) * t1(ii) - 5 * t1(ii); elseif ii > 10 && ii <= 20 % for 2nd condition in limit vt1(1, k) = 1100 - 5 * t1(ii); end fprintf('%.2f\t\t%.4f\n',t1(ii), vt1(1, k)); % tabulating the data k = k + 1;    end % Calculating the velocity points with step size = 0.5s of time fprintf('\n *** Step size = 0.5 s ***\n'); fprintf('\nTime (s)\tVelocity (m/s)\n\n'); j = 1; for ii = 1:numel(t2) if ii >= 0 && ii <= 10 % for 1st condition in limit vt2(1, j) = 11 * t2(ii) * t2(ii) - 5 * t2(ii); elseif ii > 10 && ii <= 20 % for 2nd condition in limit vt2(1, j) = 1100 - 5 * t2(ii); end fprintf('%.2f\t\t%.4f\n',t2(ii), vt2(1, j)); % tabulating the data j = j + 1; end % Tabulating values % Plotting the graphs on same window with different figures subplot(2, 1, 1) plot(t1, vt1, '-k', 'LineWidth', 1.3) xlabel('Time (s)') ylabel('Velocity (m/s)') title('Step Size = 1 s') subplot(2, 1, 2) plot(t2, vt2, '-b', 'LineWidth', 1.3) xlabel('Time (s)') ylabel('Velocity (m/s)') title('Step Size = 0.5 s')

OUTPUT PLOT

Command Window Output

3.00 84.0000 3.50 117.2500 4.00 156.0000 4.50 200.2500 5.00 1075.0000 5.50 1072.5000 6.00 1070.0000 6.50 1067.5000 7.00 1065.0000 7.50 1062.5000 8.00 1060.0000 8.50 1057.5000 9.00 1055.0000 9.50 1052.5000 10.00 0.0000 10.50 0.0000 11.00 0.0000 11.50 0.0000 12.00 0.0000 12.50 0.0000 13.00 0.0000 13.50 0.0000 14.00 0.0000 14.50 0.0000 15.00 0.0000 15.50 0.0000 16.00 0.0000 16.50 0.0000 17.00 0.0000 17.50 0.0000 18.00 0.0000 18.50 0.0000 19.00 0.0000 19.50 0.0000 20.00 0.0000