The height function is an illustration of a quadratic function.
The ball reaches a height of 8 meters at 0.38 seconds and 2.62 seconds
The height function is given as:
[tex]h = 3 + 15t - 5t^2[/tex]
At a height of 8 meters, the function becomes
[tex]3 + 15t - 5t^2 = 8[/tex]
Collect like terms
[tex]-8 + 3 + 15t - 5t^2 = 0[/tex]
[tex]-5 + 15t - 5t^2 = 0[/tex]
Rewrite the equation as:
[tex]-5t^2 + 15t - 5 = 0[/tex]
Divide through by -5
[tex]t^2 - 3t + 1 = 0[/tex]
Using a graphing calculator, we have:
t = 0.38 and 2.62
Hence, the ball reaches a height of 8 meters at 0.38 seconds and 2.62 seconds
Read more about quadratic functions at:
https://brainly.com/question/1214333
