Answer:
(a) The average speed is 0.85 milles/minute
(b) The average velocity is zero
Explanation:
In order to answer part (a) and (b) you have to apply the formulas for average speed and average velocity which are:
-Average speed formula:
[tex]v=\frac{d}{t}[/tex]
where d is the total distance traveled and t is the tota time
Replacing the given values:
[tex]v=\frac{14+14}{18+15}\\v=\frac{28}{33} \\v=0.85[/tex] milles/minute
Notice that you have to replace the total distance, which is 14 milles for the go plus 14 milles for the return. The same for the total time.
-Average velocity formula:
V = Δx/Δt
Where V is the velocity vector, Δx is the displacement and Δt is the change in time
V= [tex]\frac{X2-X1}{t2-t1}[/tex]
Where X2 is the final position and X1 is the initial position
In this case X1= 0 i and X2=0 i (i is the unit vector in the x direction). So, the displacement is zero.
Therefore, the average velocity is:
V= 0 i [milles/minute]