Answer: The average speed over the entire trip is 3.94 m/s
Explanation:
As we know : [tex]speed=\frac{distance}{time}[/tex]
Let the distance of straight line from point to point be = d
Total distance covered = 2d
Time taken to cover the forward journey = [tex]\frac{d}{5.40}[/tex]
Time taken to cover the backward journey = [tex]\frac{d}{3.10}[/tex]
Total time for the journey = Time taken to cover the forward journey + Time taken to cover the backward journey = [tex]\frac{d}{5.40}+\frac{d}{3.10}[/tex]
Average speed = [tex]\frac{\text {total distance}}{\text {total time}}=\frac{2d}{\frac{d}{5.40}+\frac{d}{3.10}}=3.94m/s[/tex]
Thus average speed over the entire trip is 3.94 m/s