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The image you've uploaded shows a table and a question related to projectile motion. Here's a breakdown of the content:

### Table: Time versus Height of Projectile
The table lists the height of a projectile at different time intervals. It looks like this:

| Time (seconds) | Height (meters) |
|----------------|------------------|
| 0              | 0                |
| 1              | 20.8             |
| 2              | 30.2             |
| 3              | 0                |
| 4              | -25.8            |
| 5              | -58.0            |

### Problem Statement:
The question seems to be asking for the **equation** that models the height \( h(t) \) of the projectile as a function of time \( t \). 

Given the nature of the data (a quadratic function describing projectile motion, since height versus time typically follows a parabolic trajectory), the problem likely involves finding a quadratic equation in the form:
\[ h(t) = at^2 + bt + c \]

To solve this, we would typically use the data points provided to set up a system of equations and then solve for the coefficients \( a \), \( b \), and \( c \).

Would you like to proceed with finding the equation, or do you have any other specific questions related to this problem? 

Here are some questions you might explore further:

1. How do you determine the coefficients \( a \), \( b \), and \( c \) for a quadratic function?
2. What are the key properties of a quadratic function that relate to projectile motion?
3. How can you verify if a function accurately models the data provided?
4. What does the negative height indicate in terms of projectile motion?
5. What real-world factors might affect the accuracy of this projectile motion model?

**Tip:** When dealing with quadratic functions in physics, always check if the data points match the expected parabolic shape to ensure consistency in your model.

The image you've uploaded shows a table and a question related to projectile motion. The table lists the height of a projectile at different time intervals, and the question asks for the equation that models the height as a function of time.

Analyze the quadratic function that models the height of a projectile over time using given data points. Learn the key mathematical concepts and formulas involved in solving this problem, suitable for students in Grades 9-12.

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