Answer:
The object moves at a speed of 59.7 miles per month.
Step-by-step explanation:
We know that 1 mile equals 1760 yards and a month equals 43800 minutes. If the object travels at constant speed ([tex]v[/tex]), measured in miles per month, then we use the following kinematic equation:
[tex]v = \frac{x}{t}[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Distance travelled, measured in miles.
[tex]t[/tex] - Time, measured in months.
If we know that [tex]s = 6\,yd[/tex] and [tex]t = 2.5\,min[/tex], then the speed of the object is:
[tex]v = \frac{6\,yd\times \frac{1}{1760} \frac{mi}{yd} }{2.5\,min \times \frac{1}{43800}\,\frac{mo}{min} }[/tex]
[tex]v = 59.727\,\frac{mi}{mo}[/tex]
The object moves at a speed of 59.7 miles per month.
