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23 Nov 2019

In the figure below, an albatross glides at a constant 14 m/shorizontally above level ground, moving in a vertical plane thatcontains the Sun. It glides toward a wall of height h = 3.5 m,which it will just barely clear. At that time of day, the angle ofthe Sun relative to the ground is ? = 21°.

Figure: http://www.webassign.net/hrw8/33-77.gif

(a) At what speed does the shadow of the albatross move across thelevel ground?

(b) At what speed does the shadow of the albatross move up thewall?

Suppose that later a hawk happens to glide along the same path,also at 14 m/s. You see that when its shadow reaches the wall, thespeed of the shadow noticeably increases.

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

(d) If the speed of the hawk's shadow on the wall is 50 m/s, whatis the angle ? of the Sun just then?

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