4. (a) A luminous point is moving at speed ve toward a
spherical mirror with radius of curvature r, along the
principal axis of the mirror. Show that the image of this
point is moving at speed
r
V,
Voi
Zu-r
where u 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 v. = 5.0 cm/s. Find v, when (b) u = = 40 cm
(far outside the focal point), (c) u = 7.8 cm (just outside the
focal point), and (d) u = 10 mm (very near the mirror).
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