Here is something to try at a sporting event. Show thatthe

Chapter 3, Problem 3.42

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Here is something to try at a sporting event. Show thatthe maximum height h attained by an object projected intothe air, such as a baseball, football, or soccer ball, is approximatelygiven byh ~ 1.212 m,where t is the total time of flight for the object in seconds.Assume that the object returns to the same level as that fromwhich it was launched, as in Fig. 3-42. For example, if youcount to find that a baseball was in the air for t = 5.0 s, themaximum height attained was h = 1.2 X (5.0)2 = 30 m.The beauty of this relation is that h can be determinedwithout knowledge of the launch speed vq or launchangle 0O.FIGURE 3-