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

Question

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.

Answer 1

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

Given the function: \[ h(t) = -16t^2 + 5t + 15 \]

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.