Aperson standing close to the edge on the top of a 400-ft building drops a baseball. the quadratic function h left parenthesis t right parenthesis equals negative 16 t squared plus 400 models the ball’s height above the ground, h left parenthesis t right parenthesis, in feet, t seconds after it was dropped.

find h left parenthesis 0 right parenthesis and interpret the meaning of the function value in the context of the problem.

The above function value for shows that height of the ball before it was dropped i.e. at time = 0 seconds.

The height of the ball above the ground before it was dropped = 400 ft.

Step-by-step explanation:

Given:

The quadratic function that models the height of the baseball above the ground in feet , seconds after it was dropped is given as:

To find and interpret the meaning of the function value in contect of the problem.

Solution:

In order to find , we will replace in the given function as is a function of time .

Thus, we have:

 (Answer)

The above function value for shows that height of the ball before it was dropped i.e. at time = 0 seconds.

The height of the ball above the ground before it was dropped = 400 ft.