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In 2009, Usain Bolt set the world record for sprinting 100m in approximately 9(3)/(5) seconds. Find his average speed in meters per second. meters per second

In 20092009, Usain Bolt set the world record for sprinting 100 m 100 \mathrm{~m} in approximately 935 9 \frac{3}{5} seconds.\newlineFind his average speed in meters per second.\newlinemeters per second

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Q. In 20092009, Usain Bolt set the world record for sprinting 100 m 100 \mathrm{~m} in approximately 935 9 \frac{3}{5} seconds.\newlineFind his average speed in meters per second.\newlinemeters per second
  1. Identify distance and time: Identify the distance and time to calculate the average speed.\newlineUsain Bolt ran 100100 meters in 9359\frac{3}{5} seconds. We need to convert the mixed number to an improper fraction to make the calculation easier.\newline9359\frac{3}{5} seconds = (9×5+3)/5=(45+3)/5=485(9 \times 5 + 3) / 5 = (45 + 3) / 5 = \frac{48}{5} seconds.
  2. Convert mixed number: Calculate the average speed using the formula:\newlineSpeed = DistanceTime\frac{\text{Distance}}{\text{Time}}\newlineWe have the distance (100100 meters) and the time (485\frac{48}{5} seconds).
  3. Calculate average speed: Perform the division to find the average speed.\newlineSpeed = 100 meters/(485 seconds)100 \, \text{meters} / \left(\frac{48}{5} \, \text{seconds}\right)\newlineTo divide by a fraction, multiply by its reciprocal.\newlineSpeed = 100 meters×(548 seconds)100 \, \text{meters} \times \left(\frac{5}{48} \, \text{seconds}\right)
  4. Perform division: Simplify the expression to find the average speed.\newlineSpeed = (100×5)/(1×48)(100 \times 5) / (1 \times 48) meters per second\newlineSpeed = 500/48500 / 48 meters per second\newlineSpeed = 10204810 \frac{20}{48} meters per second\newlineSince 2048\frac{20}{48} can be simplified further, we reduce it to its simplest form.\newline2048=512\frac{20}{48} = \frac{5}{12} (dividing both numerator and denominator by 44)\newlineSpeed = 1051210 \frac{5}{12} meters per second

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