By evaluating the free fall equation of the rock at a time of 1.8 seconds, we conclude that the height of the rock above the earth is equal to 33.180 seconds.
In this problem we have a polynomic function that models the height of a rock (h), in meters, in terms of time (x), in seconds. Since we know the time, then we can determine the corresponding height of the rock above the earth:
h(1.8) = 42 - 4.9 · (1.8)
h(1.8) = 33.180 meters
By evaluating the free fall equation of the rock at a time of 1.8 seconds, we conclude that the height of the rock above the earth is equal to 33.180 seconds.
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