The function [tex]y = -5t^2 + 125[/tex] of the nickel is quadratic function
It will take 5 seconds for the coin to hit the ground
The function is given as:
[tex]y = -5t^2 + 125[/tex]
When the nickel hits the ground, the value of the function is:
y = 0
So, we have:
[tex]-5t^2 + 125 = 0[/tex]
Subtract 125 from both sides
[tex]-5t^2 =- 125[/tex]
Divide both sides by -5
[tex]t^2 =25[/tex]
Take the square root of both sides
[tex]t = 5[/tex]
Hence, it will take 5 seconds for the coin to hit the ground
Read more about quadratic functions at:
https://brainly.com/question/1214333