Answer:
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.
