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Olympics

Time (sec)

Olympics

Time (sec)

1896

54.2

1960

44.9

1900

49.4

1964

45.1

1904

49.2

1968

43.8

1906

53.2

1972

44.66

1908

50

1976

44.26

1912

48.2

1980

44.6

1920

49.6

1984

44.27

1924

47.6

1988

43.87

1928

47.8

1992

43.5

1932

46.2

1996

43.49

1936

46.5

2000

43.84

1948

46.2

2004

44

1952

45.9

2008

43.75

1956

46.7

2012

43.94

Pierre competes in the 400-meter dash for his high school track team. He hopes to compete in the Olympics some day, so he studies data from the Olympic results. A table of the times for the Gold Medal winners is shown at right. Homework Help ✎

In the first Olympics in 1896, the winning time was 54.2 seconds. What was the average speed of the winning runner?

If Pierre wants to set an Olympic record, what time does he need to beat? What speed does that correspond to?

Pierre wants to make a graph of the times and speeds as inspiration for his training. What function can he use to model the speed as a function of the time?

9.2 m/s