Question

The function f(t) = -16t2 + 64t + 5 models the height of a ball that was hit into the

Answer 1

The best statement that compares the length of time each ball is in the air is seen in the second option.

What is the function of a quadratic equation?

A quadratic function follows the condition: f(x) = ax² + bx + c. Here (a, b, and c) are real numbers and a ≠ 0.  

From the given information:

• The function f(t) = -16t² +64t + 5 models the height of a ball

Where;

• time (t) ⇒ seconds
• height (h) ⇒ feet

The table given is as follows:

Time (in seconds)                 height, g(t) in feet

0                                             4

1                                              36

2                                              36

3                                              4

From the table, when t = 0, the function becomes:

f(t) = -16t² +64t + 5

f(t) = -16(0)² + 64(0) + 5

f(t) = 5

Therefore, we can conclude that the best statement that compares the ball is: f(t) is in the air for about 5 seconds, and the ball represented by g(t) is in the air for about 3 seconds.

Learn more about the function of a quadratic equation here:
brainly.com/question/14712068