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?

Question

Mathematics

Gideon Yu

14 October, 04:05

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?

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Answers (1)

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Dorian Byrd · Answer 1

It will travel high enough

Step-by-step explanation:

Find the vertex of the parabola:

x=-b/2a

x=-11/2 (-16)

x=-11/-32

x=11/32

Plug x=11/32 into quadratic to get the y-coordinate:

h=-16 (11/32) ^2+11 (11/32) + 5.5

h=7.391

Since 7.391>7.3, the volleyball will travel high enough (aka. yes)