Solution to the Dog-Cat problem

1.)

By equating the horizontal distances traveled by both animals,

Again, making an equation with regard to the approach velocity,

Solving these is easy and we get





2.)
Suppose the final 'constant' separation between the two is x.

So, we have,

Also, the above approach equation is now clearly modified to



Using these equations, and the fact that v = u, gives us x=d/2.

Hence the answer to the question at hand is "6.00,5.00".
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