Cat chasing a dog, not in a straight path

[Bipul Neupane]

Homework Statement

What should I do in the cat being chased by dog problem, where the cat does not move in a straight path but in a curved , like circular , but defined path?

In the original problem, cat moves in a straight line with constant velocity, and the dog starts chasing cat from a distance away with constant velocity

Relevant Equations

I tried solving this in the same way , but I got stuck at an Integral, cos(A-B)dt, which does not seem to come to any end.

Please could someone give me a hint, as I seem to reach nowhere .

 

[gneill]

Hi Bipul Neupane,

Welcome to Physics Forums!

Please quote the original problem statement as is was given to you. Homework helpers should not have to decipher the details of a problem from vague descriptions.

What do you mean by "curved , like circular , but defined path "? That is not something that can be described by an equation.

 

[Baluncore]

“With the paths of the pursuer and pursuee parameterized in time, the pursuee is always on the pursuer's tangent.”
https://en.wikipedia.org/wiki/Pursuit_curve

 

[haruspex]

... and please always post your attempt, as far as you got.