Asmall rock falling from the top of a 124-ft-tall building with an initial downward velocity of –30 ft/sec is modeled by the equation h(t) = –16t2 – 30t + 124, where t is the time in seconds. for which interval of time does the rock remain in the air?
t = 2
t > –2
t < 2
t > 2

which one? ? d:

Third option is correct.

Step-by-step explanation:

The given model is

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.

Using quadratic formula, we get

and

It means rock remains in the air between .

The value of t can not be negative, therefore rock remains in the air between .

Third option is correct.

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