Answer:
[tex]10\frac{5}{12}\approx 10.42[/tex] meters per second.
Step-by-step explanation:
We have been given that in 2009, Usain Bolt set the world record for sprinting 100 m in approximately [tex]9\frac{3}{5}[/tex] seconds.
To find average speed of Usain Bolt in meters per second we will divide 100 by [tex]9\frac{3}{5}[/tex].
Let us concert [tex]9\frac{3}{5}[/tex] in improper fraction.
[tex]9\frac{3}{5}=\frac{48}{5}[/tex]
[tex]\text{Average speed of Usain Bolt}=100\div\frac{48}{5}[/tex]
Since we know that dividing a number by fraction is same as multiplying the number by reciprocal of the fraction.
[tex]\text{Average speed of Usain Bolt}=100\times\frac{5}{48}[/tex]
[tex]\text{Average speed of Usain Bolt}=\frac{500}{48}[/tex]
[tex]\text{Average speed of Usain Bolt}=\frac{125}{12}=10\frac{5}{12}[/tex]
[tex]\text{Average speed of Usain Bolt}=10\frac{5}{12}\approx 10.42[/tex]
Therefore, the average speed of Usain Bolt is [tex]10\frac{5}{12}\approx 10.42[/tex] meters per second.
