Question

A professor uses a video camera to record the motion of an object falling from a height of 250 meters. The function f(x) = –5x2 + 250 can be used to represent the approximate height of the object off the ground after x seconds. Which is the best estimate for the amount of time elapsed when the object is 120 meters off the ground?

Answer 1

The answer is 5 seconds (5.10)

Explanation:

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Answer 2

120=-5x^2+250

5x^2-130=0

5(x^2-26)=0

x=√26

x≈5.10 seconds (to nearest hundredth of a second...)