### Home > CCA2 > Chapter 10 > Lesson 10.3.1 > Problem 10-163

A small rocket is launched from five meters below ground level and reaches a height of

What are three data points?

Each point is (time, height). The first one is

. Draw a rough sketch of the height of the rocket over time.

Plot the three points you listed in part (a). Then sketch a parabola through them.

Find the equation of the parabola based on the data.

See the hints and help for problem 10-154.

When will the rocket hit the ground?

Using your equation from part (c), let

(or)and solve for (or).

Note: You should get two answers. Which one is it?What is the domain for this function?

Look at your graph and the answer to part (d).

? For what part of the domain is the rocket below ground?

Look at your graph and the answer in part (d) that you did not use.

?