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

Identify distance and time: Identify the distance and time to calculate the average speed. Usain Bolt ran 100 meters in 9 3/5 seconds. We need to convert the mixed number to an improper fraction to make the calculation easier. 9 3/5 seconds = (9 * 5 + 3) / 5 = (45 + 3) / 5 = 48/5 seconds.Convert mixed number: Calculate the average speed using the formula: Speed = Distance / Time We have the distance (100 meters) and the time (48/5 seconds).Calculate average speed: Perform the division to find the average speed. Speed = 100 meters / (48/5 seconds) To divide by a fraction, multiply by its reciprocal. Speed = 100 meters * (5/48 seconds)Perform division: Simplify the expression to find the average speed. Speed = (100 * 5) / (1 * 48) meters per second Speed = 500 / 48 meters per second Speed = 10 20/48 meters per second Since 20/48 can be simplified further, we reduce it to its simplest form. 20/48 = 5/12 (dividing both numerator and denominator by 4) Speed = 10 5/12 meters per second

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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 $2009$ , Usain Bolt set the world record for sprinting $100 \mathrm{~m}$ in approximately $9 \frac{3}{5}$ seconds. $\newline$ Find his average speed in meters per second. $\newline$ meters per second

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Q. In

2009

, Usain Bolt set the world record for sprinting

100 \mathrm{~m}

in approximately

9 \frac{3}{5}

seconds.

\newline

Find his average speed in meters per second.

\newline

meters per second

Identify distance and time: Identify the distance and time to calculate the average speed. $\newline$ Usain Bolt ran $100$ meters in $9\frac{3}{5}$ seconds. We need to convert the mixed number to an improper fraction to make the calculation easier. $\newline$ $9\frac{3}{5}$ seconds = $(9 \times 5 + 3) / 5 = (45 + 3) / 5 = \frac{48}{5}$ seconds.
Convert mixed number: Calculate the average speed using the formula: $\newline$ Speed = $\frac{\text{Distance}}{\text{Time}}$ $\newline$ We have the distance ( $100$ meters) and the time ( $\frac{48}{5}$ seconds).
Calculate average speed: Perform the division to find the average speed. $\newline$ Speed = $100 \, \text{meters} / \left(\frac{48}{5} \, \text{seconds}\right)$ $\newline$ To divide by a fraction, multiply by its reciprocal. $\newline$ Speed = $100 \, \text{meters} \times \left(\frac{5}{48} \, \text{seconds}\right)$
Perform division: Simplify the expression to find the average speed. $\newline$ Speed = $(100 \times 5) / (1 \times 48)$ meters per second $\newline$ Speed = $500 / 48$ meters per second $\newline$ Speed = $10 \frac{20}{48}$ meters per second $\newline$ Since $\frac{20}{48}$ can be simplified further, we reduce it to its simplest form. $\newline$ $\frac{20}{48} = \frac{5}{12}$ (dividing both numerator and denominator by $4$ ) $\newline$ Speed = $10 \frac{5}{12}$ meters per second