in 2009, usain bolt set the world record for sprinting 100 m in approximately $9\\frac{3}{5}$ seconds. find…

in 2009, usain bolt set the world record for sprinting 100 m in approximately $9\\frac{3}{5}$ seconds. find his average speed in meters per second. enter an exact answer, without rounding. meters per second

in 2009, usain bolt set the world record for sprinting 100 m in approximately $9\\frac{3}{5}$ seconds. find his average speed in meters per second. enter an exact answer, without rounding. meters per second

Answer

Explanation:

Step1: Convert mixed number to improper fraction

The time (9\frac{3}{5}) seconds is converted to (\frac{9\times5 + 3}{5}=\frac{45+3}{5}=\frac{48}{5}) seconds.

Step2: Use speed formula (v=\frac{d}{t})

Given distance (d = 100) meters and time (t=\frac{48}{5}) seconds. Then (v=\frac{100}{\frac{48}{5}}).

Step3: Simplify the division of fractions

(\frac{100}{\frac{48}{5}}=100\times\frac{5}{48}=\frac{500}{48}).

Step4: Reduce the fraction

Divide numerator and denominator by 4: (\frac{500\div4}{48\div4}=\frac{125}{12}).

Answer:

(\frac{125}{12})