Answer:
Third option is correct.
Step-by-step explanation:
The given model is
\(h(t)=-16t^2-30t+124\)
Where, h(t) is heigth of rock after time t (in seconds).
The initial height of rock is 124 ft.
The leading coefficient is negative. It means it is a downward parabola.
First we have to the x-intercepts of the function.
\(0=-16t^2-30t+124\)
Using quadratic formula, we get
\(t=\frac{-(-30)\pm \sqrt{(-30)^2-4(124)(-16)}}{2(-16)}\)
\(t=-3.8752\) and \(t=2\)
It means rock remains in the air between \(-3.875.
The value of t can not be negative, therefore rock remains in the air between \(0.
Third option is correct.
