Avolleyball player sets the ball in the air, and the height of the ball after t seconds is given in

2 answers
Question:

Avolleyball player sets the ball in the air, and the height of the ball after t seconds is given in feet by h= -16^2+12t+6. a teammate wants to wait until the ball is 8 feet in the air before she spikes it. when should the teammate spike the ball? how many reasonable solutions to this problem are there?

Answers

Step-by-step explanation:

The given function is

[tex]h=-16t^2+12t+6[/tex]

The graph of this function is a parabola that opens downwards

The line [tex]h(t)=8[/tex] intersects this parabola, when

[tex]t=0.5,t=0.25[/tex]

The teammate can spike the ball after 0.25 seconds or 0.5 seconds.

The two solutions are reasonable. When the volleyball is accelerating into the air, it passes a height of 8 after 0.25 seconds.

When the ball is dropping after it attains maximum height, it attains another height of 8 after 0.5 seconds again.


[tex]Avolleyball player sets the ball in the air, and the height of the ball after t seconds is given in[/tex]

h=-16²+12t+6

8=-256+12t+6

256-6+8=12t

-258=12t

t=-258/12

t=21.5

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