Question

ada - attributes of quadratics
the height of a golf ball over time in meters is modeled by the function ( h(t) = 6 + 12t - 4.8t^2 ), where ( t ) represents the number of seconds that have passed.
use desmos graphing calculator for assignment. do not use or open any other internet browser tabs.
what is the height of the golf ball in meters after 2 seconds?
meters
(graph: height of golf ball with axes labeled number of seconds (t) and golf ball height (h(t)))

Explanation:

Step1: Identify the function and input

The height function is \( h(t) = 6 + 12t - 4.8t^2 \), and we need to find the height at \( t = 2 \) seconds.

Step2: Substitute \( t = 2 \) into the function

Substitute \( t = 2 \) into \( h(t) \):
\[

$$\begin{align*} h(2) &= 6 + 12(2) - 4.8(2)^2 \\ &= 6 + 24 - 4.8(4) \\ &= 6 + 24 - 19.2 \\ &= 30 - 19.2 \\ &= 10.8 \end{align*}$$

\]

Answer:

10.8