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11-88.
  1. 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 ✎

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

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

    3. 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