Question

Tom is Chasing Jerry mouse. The initial Distance between them is S₀=100m. Tom runs  V_c=4-at m/s (a>0)

Jerry's velocity depends on the distance between Tom & Jerry.

Vm=Vmax - ks = 3 - ks m/s

ds/dt = V_m - V_c = (3 - ks) - (4 - at) = -1 - ks + at

Set k=0.02

If a=0.01 m/s², use the 4th order Runge-Kutta method to compute when will Tom catch Jerry (use a step size so that your results is reasonably accurate compared with the true solution.)

Answer 1