A small rock falling from the top of a 124-ft-tall building with an initial downward velocity of -30ft/sec is modeled by the equ
ation h(t)= -16t2-30t+124, where t is the time in seconds. For which interval of time does the rock remain in the air?
2 answers:
You need to solve this for h(t)=0
<span>-16t^2-30t+124=0
This has two solutions, one is negative that does not make sense as time cannot be negative.
The positive solution is t=2
So the interval where it is in the air is [0;2)
</span>
Answer:

Step-by-step explanation:
A small 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 .
Equation : 
Now we are supposed to find For which interval of time does the rock remain in the air
Substitute h(t)=0




Since time cannot be negative .So, neglect 
So, time interval for which the rock remain in the air:

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