Question

. The height of a volleyball, h, in feet, is given by h = -16t² + 11t+5.5, where t

is the number of seconds after it has been hit by a player. The top of the net is
7.3 feet above the floor. Does the volleyball travel high enough to clear the top
of the net?
Step 1: Write an equation that models the height of the volleyball being equal
to the height of the top of the net.
Step 2: Write the equation in standard form.
Step 3: Find the determinant of the quadratic equation.
Step 4: Interpret the determinant.

Answer 1

To determine if the volleyball clears the top of the net, we need to compare the height of the volleyball with the height of the net.

Step-by-step explanation:

To determine if the volleyball clears the top of the net, we need to compare the height of the volleyball with the height of the net. The equation that models the height of the volleyball is h = -16t² + 11t + 5.5, and the height of the net is 7.3 feet. To find out if the volleyball clears the net, we need to set the two heights equal to each other: -16t² + 11t + 5.5 = 7.3. Rearranging the equation into standard form, we have -16t² + 11t - 1.8 = 0. The determinant of the quadratic equation is 11² - 4(-16)(-1.8) = 273.2.

Learn more about Applying quadratics to solve a real-world problem