Abaseball player hits a ball toward the outfield. the height h of the ball in feet is modeled by h(t) = -16t2 + 22t + 3, where t is the time in seconds. if no one catches the ball, how long will it stay in the air? (round to the nearest tenth of a second and enter only the number.)
hints:
• when the ball hits the ground, its height is zero, so you are looking for one of the zeros of the quadratic equation.
• though you could use several different methods, the easiest way to solve this particular equation is the quadratic formula (provided here). take the a, b, and c values from the function in the question above.
• when you solve the quadratic for the zeros, you will have two answers. one of the answers will not make sense for a baseball hit into the outfield. the one that does make sense will be the correct answer.