(a) A luminous point is moving at speed toward a spherical mirror with radius of curvature r, along the central axis of the mirror. Show that the image of this point is moving at speed
Where p is the distance of the luminous point from the mirror at any given time. Now assume the mirror is concave, with r = 15 cm, and let . Find
when (b) p = 40 cm (far outside the focal point), (c) p = 7.8 cm (just outside the focal point), and (d) p = 10 mm (very near the mirror).
