Answer:
![11.17\ \text{ m/s}](https://img.qammunity.org/2020/formulas/physics/college/pg5zd54llfu2tmho2lyexytsvxkiotm5iq.png)
Step-by-step explanation:
Given : The escape velocity :
![v=2.5*10\text{ miles per hour}](https://img.qammunity.org/2020/formulas/physics/college/hykltbcufgndf2u7uqkgvk7j53t6t1hwlr.png)
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 :-
![v=2.5*10*(1609)/(3600)\\\\=11.1736111111\approx11.17\text{ m/s}](https://img.qammunity.org/2020/formulas/physics/college/sulcdtwgbe9ij936psyxeo32ca98qkwb4n.png)
Hence, the speed in m/s = 11.17