Use the information about Roger Clemens on page 444 to explain how you can determine how long a baseball will remain in the air. Explain how to use factoring and the Zero Product Property to solve the problem. Then interpret each solution in the context of the problem.
The height of the ball when it return to the ground will be 0 0 = 151t - 16t²
The zero product property is that when two numbers are being multiplied and the product is 0, one of them must be equal to 0. Therefore, we can factorize this equation: 16t² - 151t = 0 t(16t - 151t) = 0 By the zero product property: t = 0 or 16t - 151 = 0
So t = 0 or t = 9.44 seconds
The first solution is before he releases the ball and the second is when the ball comes back to the ground. Thus, the ball's air time is 9.44 seconds.
