Bouncing Photon (Part 2)

There is a photon traveling in the xyxy-plane. At t=0t = 0, it is positioned at (x,y)=(35,310)(x,y) = \left(-\frac{3}{5} ,\frac{3}{10}\right) and it has a velocity (vx,vy)=(12,32)(v_x,v_y) = \left(\frac{1}{2},\frac{\sqrt{3}}{2}\right).

The photon is surrounded by a circular mirror of unit radius which is centered on the origin. There is no mirrored surface within the angle range (5θ5)(-5^{\circ} \leq \theta \leq 5^{\circ}) , where θ\theta is measured with respect to the +x+x axis.

At what time does the photon exit the region enclosed by the circular mirror (to 1 decimal place)?


Inspiration.

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