14. Martha dives into a swimming pool from a diving board that is 15 feet above the water. Her initial upward velocity is 5 feet per second. The function h(t)=−16t2+5t+15

models Marthas height from the waters surface, where t represents time in seconds since she dove.(2 points)
Complete the statements.

The interpretation of h(1) is that at
, Marthas height is
from the waters surface.

1 answer

To interpret h(1), we first need to evaluate the function h(t) at t=1.

Given the function: h(t)=16t2+5t+15

Substituting t=1: h(1)=16(1)2+5(1)+15 h(1)=16+5+15 h(1)=16+20 h(1)=4

Now, we can complete the statements:

The interpretation of h(1) is that at 1 second, Martha's height is 4 feet from the water's surface.