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Finding the position of intersection for a ray and a moving object

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I'm confused, let me check if I understood

Your first object

* is a point
* starts at a position (a,b) at time 0
* moves in a straight line with constant velocity

Your second object

* is a ray with fixed center (c,d)
* starts with angle φ at time 0
* rotates with a constant angular velocity

And you want to know when this ray passes through the point, correct?
by

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