Answer:
The ball reaches maximum height in 3 seconds.
The maximum height of the ball is of 400 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
It's vertex is the point
In which
If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is
In this question:
The height is modeled by:
So, the coefficients are:
Instant of time the ball reaches maximum height:
The ball reaches maximum height in 3 seconds.
What is the maximum height of the ball?
This is s(3).
The maximum height of the ball is of 400 feet.