The 100 metre race THE WORLD’S GREATEST SPRINTER, USAIN BOLT, AGAINST THE WORLD’S FASTEST SPRINT CYCLIST, RENÉ ENDERS. WHO WINS?

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Presentation transcript:

The 100 metre race THE WORLD’S GREATEST SPRINTER, USAIN BOLT, AGAINST THE WORLD’S FASTEST SPRINT CYCLIST, RENÉ ENDERS. WHO WINS?

Usain Bolt vs Rene Enders over 100 metres: who wins the race? THE RUNNER: USAIN BOLT Men’s sprint 100m World Record is 9.58 seconds stmhttp://news.bbc.co.uk/sport1/hi/athletics/ stm Alternative: LMMhttp:// LMM THE CYCLIST: RENÉ ENDERS The men’s cycling world record for a 250m lap from a standing start is seconds, by René Enders of Germany. uMwUhttps:// uMwU (This video is of the German team, which includes Enders. A video of the world record ride is not available).

Explore some ways to solve the problem. How could you use this information to decide who will win in a 100 metre race from a standing start? What calculations could you make? What diagrams could you draw? Usain Bolt’s 100 metre World Record is 9.58 seconds René Enders’ 250 metre (one lap) cycling World Record is seconds, from a standing start.

Explore some ways to solve the problem. What assumptions are you making? What are the limitations of the data we have? What further information do you need? Usain Bolt’s 100 metre World Record is 9.58 seconds René Enders’ 250 metre (one lap) cycling World Record is seconds, from a standing start.

The 100 metre race: Evaluating solutions LOOK AT THE FOLLOWING IDEAS. IN WHAT WAYS ARE THEY USEFUL? WHAT ASSUMPTIONS HAVE BEEN MADE? HOW COULD THESE SOLUTIONS BE IMPROVED?

The Calculation If René Enders completed 250m in seconds, then to cover 100m he would take ( ÷ 250) x 100 seconds. This equals seconds What assumptions have been made in this calculation? Are these assumptions reasonable? What further information do you need to make better calculations?

The Graph How would you read the graph to tell you who would win the race? What assumptions have been made in drawing this graph? Are these the same assumptions as in the calculation? How can it be improved?

Split times These are estimated times at each 10m stage for Usain Bolt’s world record 100m run in Berlin on the 16 th August Distance run (metres) Time (seconds)

Qualification standards for cyclists Men’s Standing 250m sec Last half lap split time of 6.75sec Additional information: A cyclist reaches top speed in this event at about 90 metres. The standards are those published by the Australian National Track Cycle Team for their selection process. These are the standards that a male cyclist has to achieve to be considered for the team for the World Championships and the Olympic Games.