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In 20092009, Usain Bolt set the world record for sprinting 100 m100\,\text{m} in approximately 9.589.58 seconds. Find his average speed in meters per second.

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Full solution

Q. In 20092009, Usain Bolt set the world record for sprinting 100 m100\,\text{m} in approximately 9.589.58 seconds. Find his average speed in meters per second.
  1. Calculate Speed Formula: To find Usain Bolt's average speed, we need to divide the distance he ran by the time it took him to run that distance.\newlineSpeed = DistanceTime\frac{\text{Distance}}{\text{Time}}
  2. Given Values: We have:\newlineDistance = 100100 meters\newlineTime = 9.589.58 seconds\newlineNow we calculate the speed using the formula from the first step.\newlineSpeed = 100100 meters ÷\div 9.589.58 seconds
  3. Calculate Speed: Performing the division to find the speed:\newlineSpeed = 100÷9.58100 \div 9.58\newlineSpeed ≈10.438413361169102\approx 10.438413361169102 meters per second
  4. Round Speed: We can round the speed to a reasonable number of decimal places for simplicity. Since we're dealing with human speed, two decimal places are sufficient.\newlineSpeed ≈10.44\approx 10.44 meters per second

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