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Thletics World Records (Speed) Investigation

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Athletic Records Investigation You have been asked to investigate the speeds of various athletic event record holders, and the 100m/100yard sprint record speeds since records began. Your first task is to investigate the average speed in a variety of athletic event world records. To do this you will need to convert the times into seconds and then work out the speed in metres per second (m/s). Distance Time Name Speed (m/s) Speed (mph) 100m 9.58s Usain Bolt 200m 19.19s Usain Bolt 400m 43.18s Michael Johnson 800m 1m 41.01s David Rudisha 1,500m 3m 26.00s Hicham El Guerrouj 3,000m 7m 20.67s Hicham El Guerrouj 10,000m 26m 17.53s Kenenisa Bekele Marathon (42km) 2h 3m 38s Patrick Musyoki 110m hurdles 12.87s Dayron Robles 4x100m 37.04s Nesta Carter Relay Michael Frater Yohan Blake Usain Bolt Next step, you need to convert m/s into miles per hour (mph). Use the fact that 1m/s = 2.24 mph to complete the final column. Construct a scatter graph of the speed against the distance for the events below: 100m, 200m, 400m, 800m, 1500m. Estimate the speed for the following distances: 500m = ____________ 1000m = ____________ 1200m = ____________ What distance would you run at a speed of 8.5 m/s? __________m fmaths Athletic Records Investigation 1) Describe the relationship between the event distance and the average speed. _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ 2) Why would Usain Bolt’s 100m and 200m record speeds be similar? _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ 3) Why might the longer distance records be ran at similar speeds? _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ 4) Why is the 4x100m relay speed faster than the 400m record speed even though the distance is identical? _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ 5) Why is the 110m hurdle speed slower than the 400m speed? _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ Extension: Why would you not include the relay or hurdle speeds? _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ fmaths Athletic Records Investigation Before investigating the speeds of the 100m world record times, you need to construct a scatter graph of the times against the year they were ran. Your next task is to investigate the average speed of the 100m world record holders since records began, beginning with hand timed records. Time (s) Name Year Speed (m/s) Speed (mph) 10.8 Luther Cary 1891 10.7 Frank Jarvis 1900 10.6 Knut Lindberg 1906 10.5 Emil Ketterer 1911 10.4 Charlie Paddock 1921 10.3 Percy Williams 1930 10.2 Jesse Owens 1936 10.1 Leamon King 1956 10.0 Bob Hayes 1964 Next, continue for the electronically timed records. Time (s) Name Date Speed (m/s) Speed (mph) 9.95 Jim Hines 1968 9.93 Calvin Smith 1983 9.92 Carl Lewis 1988 9.90 Leroy Burrell 1991 9.86 Carl Lewis 1991 9.85 Leroy Burrell 1994 9.84 Donovan Bailey 1996 9.79 Maurice Greene 1999 9.77 Asafa Powell 2005 9.74 Asafa Powell 2007 9.69 Usain Bolt 2008 9.58 Usain Bolt 2009 fmaths Athletic Records Investigation 6) What factors might influence the falling record times? Are modern athletes simply better, or are there other influences on humans being able to run quicker? __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ 7) Why might the speeds for the hand timed records be unreliable? How confident can you be of the accuracy of the times and speeds? __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ Describe how the speed of the sprinter develops over a 100m sprint, from the starters gun to the finishing line. __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ What do you think is the maximum speed the sprinter at the end of the race? __________________________________________________________________________ fmaths Athletic Records Investigation Extension: you need to go back further to when the 100yard sprint was ran, by first converting 100yards into metres. If 1 inch = 2.54cm, 1 yard = 36 inches and 1m = 100cm, calculate how many metres is equivalent to 100m. Once you have found this, calculate the speed in m/s and mph of each record. Time (s) Name Year Speed (m/s) Speed (mph) 10.5 F. C. Saportas 1870 10.0 W. C. Wilmer 1878 9.8 J. Owen. Jr 1890 9.6 D. J. Kelly 1906 9.4 Frank Wykoff 1930 9.1 Bob Hayes 1964 9.07 Asafa Powell 2010 Compare Asafa Powell’s speed in the 100yard sprint and the 100m sprint. Why might his 100m time be faster? ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ fmaths .
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