Question

(a) write down the height of the cliff from which the stone was thrown.

Answer 1

Given the functions:

h(t) = 52 + 3t - 0.5t²

g(t) = 2t - 1

The function h(t) models the height of the stone in meters above the sea after t seconds

The function g(t) models the path of the arrow.

Let's solve for the following:

• (a). Write down the height of the cliff from which the stone was thrown.

Before the stone was thrown, the time, t = 0 second.

To find the initial height from which the stone was thrown substitute 0 for t and solve for h(0).

We have:

`\begin{gathered} h(0)=52+3(0)-0.5(0)^2 \\ \\ h(0)=52\text{ m} \end{gathered}`

Therefore, the height of the cliff from which the stone was thrown is 52 meters.

ANSWER:

52 meters.