# Inertia Racetrack

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## Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

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#### Tower of Hanoi

Move the pieces of the tower from one place to another in the minimum number of moves. This puzzle was invented in 1883 but is still as captivating today as it was all those years ago.

## Numeracy

"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables."

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## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths main page links to more activities designed for students in upper Secondary/High school.

## Teachers

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Transum,

Monday, July 25, 2022

"Although Inertia Racetrack is a two-player game here is a suggestion for how to enjoy this activity as a one-player challenge. Use only the blue car (set the other car’s vector components to zeros or let it crash) and try to drive around the course using the minimum number of moves. Claim a trophy to record your achievement then try to improve on your personal best.

The best I have seen so far are:
Track 1: 13 moves
Track 2: 19 moves
Track 3: 30 moves
Track 4: 25 moves
Track 5: 33 moves
Track 6: 33 moves
Track 7: 38 moves
Track 8: 37 moves
Track 9: 40 moves
Track 10: 50 moves

If you manage to complete a track in a smaller number of moves please let me know by copying and pasting you list of ordered pairs into a comment on this page (link below)."

Alex Smyth, Perth

Monday, October 23, 2023

"Track 4: 25 Moves
[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐]

[Transum: Well done Alex for beating the previous record of 27 - I have hidden your route so as not to spoil the fun for others] "

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For Students:

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© Transum Mathematics :: This activity can be found online at:
www.Transum.org/go/?Num=556

## Instructions

The objective of the game is to be the first player to get around the racetrack and reach the red FINISH line.

Each player adjusts the numbers on their race vector by clicking on one or more of the red buttons at the sides of their vectors. This only allow a maximum increment of one each time (this provides the notion of inertia).

When both players are happy with their settings the 'Run Vectors' button can be clicked.

Continue this process until at least one of the plays reaches the FINISH line.

This racetrack uses some futuristic technology that allows two racecars to occupy the same space at the same time - Amazing!

If the race is a draw try racing again on one of the other racetracks (levels). If one player is a clear winner a virtual trophy can be claimed by that player.

The titles Player 1 and Player 2 are editable so your names can be typed in.

The image above shows a typical race that the blue car wins. The orange car crashed due to over-enthusiastic inertia!

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