Answer:
Modeling the situation with a quadratic equation, it is found that:
The maximum height of the ball is of 60.2 feet.
The ball hits the ground after 3.39 seconds.
Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.
In which:
is the initial velocity.
is the initial height.
In this problem:
Height of 8 feet, thus .
Initial velocity of 32 feet per second,
The equation is:
Which is a quadratic equation with .
The maximum height is the output of the vertex, which is:
Then, with the coefficients of this question:
The maximum height of the ball is of 60.2 feet.
It hits the ground at t for which , thus:
We want the positive value, so:
The ball hits the ground after 3.39 seconds.
A similar problem is given at brainly.com/question/24626341
Step-by-step explanation:
