The function d=4.9t^2 represents the distance d, in meters, that an object falls in t seconds due to Earth's gravity. How long, in seconds, would it take for a cliff diver who is 70 meters above the water to reach the water below?

Question

Mathematics

Xiomara

24 August, 04:38

The function d=4.9t^2 represents the distance d, in meters, that an object falls in t seconds due to Earth's gravity. How long, in seconds, would it take for a cliff diver who is 70 meters above the water to reach the water below?

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Answers (1)

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Charles Hooper · Answer 1

To determine the time it will take for the diver to reach the water below, we derive the equation such that t will be our unknown and that will be,

t = √ (d/4.9)

Substituting the known values,

t = √ (70 m / 4.9) = 3.78 s

Therefore, it will take the diver approximately 3.78 seconds to reach the water below.