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?

4 seconds
5 seconds
6 seconds
7 seconds

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kevinbentch kevinbentch · Answer 1 · 2019-11-08T21:17:05+01:00

Answer:

The answer is approximately 5.09 seconds.

Step-by-step explanation:

The given equation is:

f(x) = -5x^2 + 250

To find the elapsed time, x, set the equation equal to 120 and solve for x:

-5x^2 + 250 = 120

-5x^2 = -130

x^2 = -130/-5 = 26

x = Sqrt(26) = 5.09 seconds.

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raphealnwobi raphealnwobi · Answer 2 · 2022-03-30T12:44:24+02:00

The best estimate for the amount of time elapsed when the object is 120 meters off the ground is 6.8 seconds.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let f(x) represent the approximate height of the object off the ground after x seconds.

Given that f(x) = –5x² + 250, hence:

at height of 120 m, f(x) = 120:

120 = -5x² + 250

5x² = 130

x = 6.8 seconds

The best estimate for the amount of time elapsed when the object is 120 meters off the ground is 6.8 seconds.

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