An athlete whose event is the shot put releases a shot When the shot whose path is shown by the graph to the right is released

Question

An athlete whose event is the shot put releases a shot When the shot whose path is shown by the graph to the right is released at an angle of 40 its height f x in feet can be modeled by f x 0 01x 0 8x 6 3 where x is the shot s horizontal distance in feet from its point of release Use this model to solve parts a through c and verify your answers using the graph a What is the maximum height of the shot and how far from its point of release does this occur The maximum height is 22 3 which occurs 40 feet from the point of release Type an integer or decimal rounded to four decimal places as needed b What is the shot s maximum horizontal distance to the nearest tenth of a foot or the distance of the throw 87 2 feet Type an integer or decimal rounded to the nearest tenth as needed c From what height was the shot released feet Shot Put s Height A 50 40 30 20 10 0 0 20 40 60 80 100 Shot Put s Horizontal Distance

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