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:

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.