your word problem solver

Do you need an example of a word problem involving a quadratic equation? You've found it. More specifically, it's a function, typically covered in the second semester of Algebra 1:

A toy rocket is launched from the rooftop of a building. The rocket's height, h(t), is modeled by the equation **h(t) = -16t² +80t +
96** after t seconds.

- How tall is the building?
- How long before the rocket hits the ground at the base of the building?
- How high will the rocket be 5 seconds after take off?
- At what time will the rocket be 160 feet above the ground?

The following video shows how to solve this quadratic equation word problem. Note: At the end of the video, I mispoke. I said that #4 only has one answer. That is wrong -- #4 has two answers.

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If you're a teacher or tutor, here are some questions you might ask your student(s) before presenting them with the problem:

- Have you ever been on the roof of a building? Tell me about it.
- Have you ever launched a toy rocket? Tell me about it.
- What do you think of when you hear the word “function”?
- Can you think of an example of an algebra function?

And here are some questions you might ask before having your student(s) solve the problem:

- Could you please read the first 2 sentences of the problem out loud?
- What are the two variables? [height and time]
- Which letters symbolize each variable? [height = h(t); time = t]
- In this problem, what are the units of measurement for height and time? [height: feet (see part 4); time: seconds]
- Which variable would you make the x-axis, and which would you make the y-axis? [x-axis: time; y-axis: height]
- Draw a coordinate system on which
you can later graph the problem.
- Label h(t) and t.

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Thanks for visiting Can Do Math. I hope you've found this word problem with a quadratic equation to be useful!