We Helped With This MATLAB Programming Homework: Have A Similar One?

Tom cat is chasing Jerry mouse the initial distance between them is S₀=100m. Tom runs V_c=4-at m/s (negative accident) Jerry’s velocity depends on the distance between Tom& Jerry V= Vmax-Ks (3-0.025 m/s), ds/ds= V_m - V_c = -1-025 +at m/s.

1.      Find the true solution. Plot it to find when will Tom catch Jerry with a=0.01 m/s².

2.      If a=0.01 m/s², use 4^th order Runge-Kutta method to compute when will Tom catch Jerry. Use a step size so that you result reasonably accurate compared with the true solution.

3.      Use Adam-Bashforth Technique with your result from Runge-Kutta method as initial step to compute when will Tom catch Jerry.

4.      Suppose Tom’s acceleration is unknown someone found did not catch Jerry in 2 minutes. Is it possible Tom will catch Jerry in his life time?