Answer: [tex]11.17\ \text{ m/s}[/tex]
Explanation:
Given : The escape velocity : [tex]v=2.5\times10\text{ miles per hour}[/tex]
We know that 1 mile = 1609 meters (approx)
and 1 hour= 3600 seconds
To convert escape velocity 2.5 x 10 miles per hour into m/s , we need to multiply it by 1609.34 and divide it by 3600.
Thus, the escape velocity in m/s is given by :-
[tex]v=2.5\times10\times\dfrac{1609}{3600}\\\\=11.1736111111\approx11.17\text{ m/s}[/tex]
Hence, the speed in m/s = 11.17