Sam is playing with his slingshot and launches a rock straight up in the air with an initial upward velocity of 120 ft/sec. Gravity slows the rock’s upward velocity and it eventually changes directions and falls back down to the ground. The height of the rock is defined using the function h(t) = -16t2 + 120t. What is a reasonable value of the domain, t? a.) 5 seconds
b.) 1 seconds
c.) 90 seconds
d.) -4 seconds

Plz help ASAP!

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  a)  5 seconds

Step-by-step explanation:

Usually in such scenarios, we're interested in position and time where h(t) ≥ 0. For the given equation, that is 0 ≤ t ≤ 7.5. Values of t that are negative, and values of t that give h(t) a negative value are generally not of interest.

Then, the choice between a domain of [0, 1] and one of [0, 5] will depend on the reason for using the equation. We expect that the longer of these two domains is likely to be more reasonable:

  5 seconds

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step-by-step explanation:

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