# Into the light!

As shown in the diagram above, there is a light source at a height of $$H$$, and a man of height $$h$$ walks toward it with constant velocity $$v$$.

Photons hit the road (which is made of mirror) at point $$P$$ and reflects into the man's eye (approximated by a point-like photoreceptor located exactly at the height $$H$$ above the ground).

Due to the motion of the man, the location of $$P$$ moves toward the light with velocity $$u$$.

Find the ratio $$\dfrac{v}{u}$$.

Details and Assumptions:

• Take $$H:h = 3:1$$.