When an athlete releases a shot
put at an angle of 65°, its height,
g(x), in feet, can be modeled by
g(x) = -0.04x² + 2.1x + 6.1,
where x is the shot's horizontal
distance, in feet, from its point of
release. How far does the athlete throw? What is the maximum heights of the shot and how far from its point of release does this occur? A person who is 5 feet tall is standing in front of the athlete, in the path of the shot. How far from the athlete will the shot put be 5 feet in the air ? Is this person likely to be hit by the shot? Explain .