Jo drops a marble from her apartment window, 20 meters above the ground. At the same height but 12 meters away, Doe watches the marble fall. When the height of the marble above the ground is h, let θ be the angle between L and M, where L is the horizontal line Joining Jo and Doe, and where M represents Doe's line of sight to the marble.
(a) Draw a picture of the scenc, including L, M, and 8. Put the horizontal axis at ground level, and indicate the position of the marble h(t) fect above ground level at time t
(b) Find θ in erms of h, and then calculate de/dh.
(c) Assume that h(t) = 20-4g2 until the marble hits the ground. Find de/dt. Show geometrically why de/dt > 0, and then tell why the formula for do/dt tells ns that de/dl > 0.