Respuesta :
Answer:
It would take 2 second to reach its maximum height.
The maximum height of the ball is 43.6 meters above the ground.
Step-by-step explanation:
Consider the provided function.
[tex]h(x)=-4.9x^2+19.6x+24[/tex]
The above function's graph is a downward parabola and the maximum of the downward parabola is at its vertex.
We can find the x coordinate of the function using the formula: [tex]\frac{-b}{2a}[/tex]
Substitute a=-4.9 and b=19.6 in [tex]\frac{-b}{2a}[/tex]
[tex]x=\frac{-19.6}{2(-4.9)}[/tex]
[tex]x=\frac{19.6}{9.8}[/tex]
[tex]x=2}[/tex]
Hence, it would take 2 second to reach its maximum height.
Substitute x=2 in above formula.
[tex]h(2)=-4.9(2)^2+19.6(2)+24[/tex]
[tex]h(2)=-19.6+39.2+24[/tex]
[tex]h(2)=43.6[/tex]
Hence, the maximum height of the ball is 43.6 meters above the ground.
