Answer: 5.824 m / min
Step-by-step explanation:
Change in position = -2.1m to -38.6m
Distance = |-38.6 m - (-2.1m) |
=|-36.5| m
= 36.5 m
Time = [tex]6\dfrac14\ min=\dfrac{6\times4+1}{4}\ min[/tex]
[tex]=\dfrac{25}{4}\ min[/tex]
The average change in Michelle's position each minute = [tex]\dfrac{36.5}{\dfrac{25}{4}}\text{ m/min}[/tex]
[tex]=\dfrac{36.4\times4}{25}\text{ m/min}\\\\= 5.824\text{ m/min}[/tex]
Hence, the average change in Michelle's position each minute = 5.824 m / min