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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

Respuesta :

HomertheGenius
120 = - 5 x² + 250
5 x² = 250 - 120
5 x² = 130
x² = 130 : 5 = 26
x = √26 = 5.099 s ≈ 5 s
Answer: B ) 5 seconds
abidemiokin

The best estimate for the amount of time elapsed when the object is 120 meters off the ground is 5 seconds


Functions and values

Given the function that represents the approximate height of the object off the ground after x seconds expressed as:

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

In order to calculate the best estimate for the amount of time elapsed when the object is 120 meters off the ground, you will substitute f(x) = 120 and calculate 'x"

120 = -5x^2 + 250
-130 = -5x^2

x^2 =130/5
x^2 = 26

x = 5 seconds

Hence the best estimate for the amount of time elapsed when the object is 120 meters off the ground is 5 seconds

Learn more on functions here: https://brainly.com/question/25638609

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