In 2009, Jamaicas Usain Bolt set a world record in the 100-m sprint. His speed at various
Question:
In 2009, Jamaica’s Usain Bolt set a world record in the 100-m sprint. His speed at various times in the race is given in the following table.
(a) Use the information in the table and left endpoints to estimate the distance that Bolt ran in miles. You will first need to calculate Δt for each interval. At the end, you will need to divide by 3600 (the number of seconds in an hour), since the speed is in miles per hour. (b) Repeat part (a), using right endpoints. (c) Wait a minute; we know that the distance Bolt ran is 100 m. Divide this by 1609, the number of meters in a mile, to find how far Bolt ran in miles. Is your answer from part (a) or part (b) closer to the true answer? Briefly explain why you think this answer should be more accurate.
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