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garri49 [273]
2 years ago
15

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?
Mathematics
2 answers:
Mandarinka [93]2 years ago
5 0
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>
Oduvanchick [21]2 years ago
4 0

Answer:

0\leq t

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 : h(t)= -16t^2-30t+124

Now we are supposed to find For which interval of time does the rock remain in the air

Substitute h(t)=0

-16t^2-30t+124=0

-2(8t^2+15t-62)=0

(t-2)(8t+31)=0

t = 2, \frac{-31}{8}

Since time cannot be negative .So, neglect \frac{-31}{8}

So, time interval for which  the rock remain in the air:

0\leq t

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