Worksheets · Algebra 2

Algebra 2 projectile motion worksheet

Height against time is a downward parabola, so the greatest height is at the vertex and landing is where the height is zero. Both questions are the quadratic ones you already know, wearing a story.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Projectile Motion

Date Period

Answer each question. Round to the nearest tenth.

  1. Greatest height reached: h(t)=−16t2+104t+30
  2. Time until it lands: h(t)=−16t2+112t+35
  3. Greatest height reached: h(t)=−16t2+96t+25
  4. Time until it lands: h(t)=−16t2+88t+15
  5. Greatest height reached: h(t)=−16t2+96t
  6. Time until it lands: h(t)=−16t2+104t+15
  7. Greatest height reached: h(t)=−16t2+104t+45
  8. Time until it lands: h(t)=−16t2+104t+50
  9. Greatest height reached: h(t)=−16t2+88t+5
  10. Time until it lands: h(t)=−16t2+96t+5
  11. Greatest height reached: h(t)=−16t2+104t+15
  12. Time until it lands: h(t)=−16t2+112t+45
  13. Greatest height reached: h(t)=−16t2+112t+5
  14. Time until it lands: h(t)=−16t2+112t+55
  15. Greatest height reached: h(t)=−16t2+112t+10
  16. Time until it lands: h(t)=−16t2+112t+60
  17. Greatest height reached: h(t)=−16t2+112t+15
  18. Time until it lands: h(t)=−16t2+96t+15
  19. Greatest height reached: h(t)=−16t2+104t+20
  20. Time until it lands: h(t)=−16t2+104t+30

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Projectile MotionAnswer keyVersion 1

Date Period

Answer each question. Round to the nearest tenth.

  1. Greatest height reached: h(t)=−16t2+104t+30199.0
  2. Time until it lands: h(t)=−16t2+112t+357.3
  3. Greatest height reached: h(t)=−16t2+96t+25169.0
  4. Time until it lands: h(t)=−16t2+88t+155.7
  5. Greatest height reached: h(t)=−16t2+96t144.0
  6. Time until it lands: h(t)=−16t2+104t+156.6
  7. Greatest height reached: h(t)=−16t2+104t+45214.0
  8. Time until it lands: h(t)=−16t2+104t+506.9
  9. Greatest height reached: h(t)=−16t2+88t+5126.0
  10. Time until it lands: h(t)=−16t2+96t+56.1
  11. Greatest height reached: h(t)=−16t2+104t+15184.0
  12. Time until it lands: h(t)=−16t2+112t+457.4
  13. Greatest height reached: h(t)=−16t2+112t+5201.0
  14. Time until it lands: h(t)=−16t2+112t+557.5
  15. Greatest height reached: h(t)=−16t2+112t+10206.0
  16. Time until it lands: h(t)=−16t2+112t+607.5
  17. Greatest height reached: h(t)=−16t2+112t+15211.0
  18. Time until it lands: h(t)=−16t2+96t+156.2
  19. Greatest height reached: h(t)=−16t2+104t+20189.0
  20. Time until it lands: h(t)=−16t2+104t+306.8

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

h(t)=−16t2+64t+80

  1. The vertex is at t equal to 64 over 32, which is 2.
  2. h(2) is -64 plus 128 plus 80.
  3. That is 144 feet.

The answer is 144 ft at t=2.

Where students go wrong

Answering the wrong question. The time at the top and the height at the top are different numbers, and so is the time it lands. Read which one is asked for before doing anything.

Also called height of a projectile, maximum height, quadratic word problems or falling objects.

What you can put on this worksheet

The greatest height
Greatest height reached: h(t)=−16t2+48t+24 → 60.0
When it is highest
Time at the greatest height: h(t)=−16t2+48t+24 → 1.5
When it lands
Time until it lands: h(t)=−16t2+48t+24 → 3.4

Questions about these worksheets

Yes. Every projectile motion sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Algebra 2 is usually taken around 10th or 11th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the projectile motion questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 3: the greatest height, when it is highest and when it lands. Tick as many as you want and set how many of each, or let it spread them evenly.

Answering the wrong question. The time at the top and the height at the top are different numbers, and so is the time it lands. Read which one is asked for before doing anything.