Answer:
The average velocity is 47.96 mi/h
Explanation:
Well, there are many ways to calculate the average velocity, but the most complete one would be the following.
With the equations of Uniform Rectelinear Movement we can obtain the distance Jason has driven. We will use the same equation for each step.
[tex]x(t)=x_{0} +v(t-t_{0})[/tex]
where x is the position, [tex]x_{0}[/tex] is the initial position (which we can pick as zero to simplify), v is the velocity, t is time and [tex]t_{0}[/tex] is the initial time (also picked as zero). In order to get the right answer we must use the same units, so we will change the minutes to hours, where 30 minutes are half an hour and 12 minutes are 0.2 hours
So, the distance will be
Now that we have the partial distances, we use the formula for average velocity which is
[tex]v_{av} =\frac{x_{f}-x_{0}}{t_{f} -t_{0} }[/tex]
where [tex]x_{f}[/tex] is the final position (the sum of the distances) and [tex]t_{f}[/tex] is the total time Jason took.
Finally, we calculate the answer,
[tex]v_{av}=\frac{(20.5mi+102mi+7mi)-0}{(0.5h+2h+0.2h)-0}=47.96\frac{mi}{h}[/tex]
