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.