Question

The height (in feet) of punted football is a function of the time the ball is in the air. The function is defined by h(t) = - 7t ^ 2 + 48t . What is the height of the football after 4 seconds?

Answer 1

Answer:

The height of the football after 4 seconds is 80 feet.

Step-by-step explanation:

You know that the height (in feet) of punted football is a function of the time the ball is in the air and it is defined by:

h(t) = -7*t²+48*t

To calculate the height of the ball after 4 seconds, you must replace the time t by the time of 4 seconds:

h(4) = -7*4²+48*4

Solving, you get:

h(4) = -7*16+48*4

h(4) = -112+192

h(4)= 80

The height of the football after 4 seconds is 80 feet.