Question

Please help

Answer 1

Answer: After $3.5\ seconds$

Step-by-step explanation:

Knowing that after "t" seconds, its height "h" in feet is given by the function:

 $h(t) = 112t -16t^2$

The maximum height is the y-coordinate of the vertex of the parabola. Then, we can use the following formula to find the corresponding value of "t" (which is the x-coordinate of the vertex):

$t=\frac{-b}{2a}$

In this case:

$a=-16\\b=112$

Substituting values, we get that the ball will reach the maximum height after:

$t=\frac{-112}{2(-16)}\\\\t=3.5\ seconds$