In Figure, an albatross glides at a constant 15 m/s horizontally above level ground, moving in a vertical plane that contains the Sun. It glides toward a wall of height h = 2.0 m, which it will just barely clear. At that time of day, the angle of the Sun relative to the ground is 0 = 30°. At what speed does the shadow of the albatross move

(a) Across the level ground and then

(b) Up the wall? Suppose that later a hawk happens to glide along the same path, also at 15 m/s. You see that when its shadow reaches the wall, the speed of the shadow noticeably increases.

(c) Is the Sun now higher or lower in the sky than when the albatross flew by earlier?

(d) If the speed of the hawk's shadow on the wall is 45 m/s, what is the angle θ of the Sun just then?

Sunray