Answer:- The average speed of sprinter is [tex]32.9\frac{km}{hour}[/tex] .
Solution:- From given data, distance covered by the sprinter is 200.0 m and it takes 21.9 seconds. We know that:
[tex]speed=\frac{distance}{time}[/tex]
Let's plug in the values and calculate the speed.
[tex]speed=\frac{200.0m}{21.9sec}[/tex]
[tex]speed=9.13\frac{m}{sec}[/tex]
It wants speed in kilometer per hour. So, let's do the unit conversion as:
1000 m = 1 km
60 sec = 1 min
60 min = 1 hour
The set up looks as:
[tex]9.13\frac{m}{sec}(\frac{1km}{1000m})(\frac{60sec}{1min})(\frac{60min}{1hour})[/tex]
= [tex]32.9\frac{km}{hour}[/tex]
So, the average speed of the sprinter is [tex]32.9\frac{km}{hour}[/tex] .
