Using quadratic function concepts, it is found that the system that models the height of the tennis ball and the height of the dog's mouth over time is given by:
h(t) = -16t² + 18t + 4.5 and h(t) = -16t² + 21t + 1.5.
<h3>What is the quadratic function for the height of a projectile?</h3>
It is given by:
h(t) = -16t² + v(0)t + h(0)
In which:
- v(0) is the initial velocity.
- h(0) is the initial height.
For the tennis ball, we have that v(0) = 18, h(0) = 4.5, hence the equation is:
h(t) = -16t² + 18t + 4.5.
For the dog jump, we have that v(0) = 21, h(0) = 1.5, hence:
h(t) = -16t² + 21t + 1.5.
Hence, the system is given by:
h(t) = -16t² + 18t + 4.5 and h(t) = -16t² + 21t + 1.5.
More can be learned about quadratic function concepts at brainly.com/question/24737967