A Spartan missile and a Trojan missle are both flying at the same constant altitude.
At time t, the Spartan missile is at the point:
Clear[spartan,t]
spartan[t_]={16.1-7 t+t^2,13 t-2 t^2}
At the same time t, the Trojan missile is at the point:
Clear[trojan, t]
trojan[t_]={26-13 t+2 t^2,23-5 t+t^2}
Here is a plot of the paths of the two missiles:
spartanpath =
ParametricPlot[spartan[t],{t,0,6}, PlotStyle->{{Blue,Thickness[0.02]}}];
trojanpath =
ParametricPlot[trojan[t],{t,0,6}, PlotStyle->{{Red,Thickness[0.02]}}];
Show[spartanpath,trojanpath]
Their paths cross, but do they crash?
Tip:
In order to crash, both missiles must be at the same point at the same time.
