For the cliff diver to reach the water below, it takes 3.77 sec.
It is given that the function [tex]\rm d= 4.9t^2[/tex] represents the distance 'd', in meters, that an object falls in 't' seconds due to Earth’s gravity.
It is required to find how long, in seconds, would it take for a cliff diver who is 70 meters above the water to reach the water below.
What is a function?
It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We have:
[tex]\rm d= 4.9t^2[/tex]
when d = 70, what will be the value of 't'
Put the value of d in the above equation, we:
[tex]\rm d= 4.9t^2\\\rm 70= 4.9t^2\\\rm \frac{70}{4.9} = t^2\\\rm 14.2857 = t^2\\\rm \sqrt{14.2857} = t\\ \rm t = 3.77 \ sec[/tex]
Thus, for the cliff diver to reach the water below, it takes 3.77 sec.
Learn more about the function here:
brainly.com/question/5245372
