Throwing events in track and field include the shot put, the discusthrow, the hammer

Chapter 1, Problem 138

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Throwing events in track and field include the shot put, the discusthrow, the hammer throw, and the javelin throw. The distance thatan athlete can achieve depends on the initial velocity of the objectthrown and the angle above the horizontal at which the objectleaves the hand.In Exercises 137138, an athlete whose event is the shot put releasesthe shot with the same initial velocity, but at different angles.(Refer to the preceding information and the graphs shownin Exercise 137.) When the shot is released at an angle of 65,its path can be modeled by the formulay = -0.04x2 + 2.1x + 6.1, in which x is the shots horizontal distance, in feet, and yis its height, in feet. This formula is shown by one of thegraphs, (a) or (b), in the figure in Exercise 137. Use theformula to determine the shots maximum distance. Use acalculator and round to the nearest tenth of a foot. Whichgraph, (a) or (b), shows the shots path?