A runner covers a distance of 23.5 miles in 2hrs a. What is the runner's velocity? b What is the runner's velocity in m/s ? (1mi=1609.3)?

The first part of this question requires you to know the definition of velocity:

a) Velocity, in this case, is defined as distance traveled over a period of time (distance/time).

The runner moves a distance of 23.5 miles in 2 hours. The velocity of the runner is therefore (23.5 miles)/(2 hours), which is equal to 11.75 miles/hour.

The second part of this question requires you to know the conversion between miles and meters and hours...

The first part of this question requires you to know the definition of velocity:

a) Velocity, in this case, is defined as distance traveled over a period of time (distance/time).

The runner moves a distance of 23.5 miles in 2 hours. The velocity of the runner is therefore (23.5 miles)/(2 hours), which is equal to 11.75 miles/hour.

The second part of this question requires you to know the conversion between miles and meters and hours and seconds:

b) Meters are a unit of measurement, meaning that they have a direct conversion value to miles. That number is 1609.344 meters to 1 mile.

We now need the number of seconds in an hour. This conversion is well-known. There are sixty minutes in an hour and sixty seconds in a minute. This means that the number of seconds in an hour is (60 x 60) or 3600 seconds.

Now that we have the number of meters in a mile and the number of seconds in an hour, we are ready to convert our equation.

(11.75 miles/hour) * (1609.344 meters/1 mile) * (1 hour/3600 seconds) = 5.25 meters/second.