The maximum height that the ball reaches is 20.0 feet when a ball is thrown upward.
In order to find the maximum height, we need to find the vertex of the parabola.
The vertex is the point where the function changes from increasing to decreasing. We can find the vertex by using the formula:
t_max = -b / (2a)
where a, b, and c are the coefficients of the quadratic function.
In this case, a = -10,
b = 24, and
c = 5.6.
We then substitute Plugging values into the formula:
t_max = -24 / (2 * -10) = 1.2
We have found the time at which the ball reaches its maximum height, we can substitute this value into the function to find the maximum height:
h_max = h(t_max)
= h(1.2)
= 20.0