41) 2.3 A piece of ice falls off the side of a glacier and into the ocean. Its height above the ocean in meters can be modeled by the expression $$ 33-4.9 t^{2} $$, where $$ t $$ is the time in seconds after the plece of ice begins to fall. (i) What does the quantity $$ 4.9 t^{2} $$ represent in the expression? 4i) the height in meters of the piece of ice above the ocean after $$ t $$ seconds the time in seconds it takes for the piece of ice to reach a height of $$ t $$ meters the distance in meters the piece of ice has fallien after $$ t $$ seconds the time in scconds it takes for the pisce of ice to fall $$ t $$ meters

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The expression for the height of the ice above the ocean is given by:

$$
\text{Height} = 33 - 4.9t^{2}
$$

Here, $$ t $$ represents the time in seconds after the piece of ice begins to fall.

**Interpretation of $$ 4.9t^{2} $$:**

In the context of kinematics, especially under the influence of gravity, the term $$ \frac{1}{2}gt^{2} $$ represents the distance an object has fallen after time $$ t $$, where $$ g $$ is the acceleration due to gravity (approximately $$ 9.8 \, \text{m/s}^{2} $$). In this expression:

$$
4.9t^{2} = \frac{1}{2} \times 9.8 \times t^{2}
$$

Thus, $$ 4.9t^{2} $$ specifically represents the **distance** the piece of ice has fallen after $$ t $$ seconds.

**Correct Option:**
- **The distance in meters the piece of ice has fallen after $$ t $$ seconds**

**Answer:**  
**The distance in meters the piece of ice has fallen after $$ t $$ seconds**
$$ 4.9t^{2} $$ represents the distance in meters the piece of ice has fallen after $$ t $$ seconds.

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