Question

he "escape velocity from Earth (the speed required to escape Earth's gravity) is 2.5 x 10 miles per hour. What is this speed in m/s? (1 mile 1609 m)

Answer 1

Answer: $11.17\ \text{ m/s}$

Explanation:

Given : The escape velocity : $v=2.5\times10\text{ miles per hour}$

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 :-

$v=2.5\times10\times\dfrac{1609}{3600}\\\\=11.1736111111\approx11.17\text{ m/s}$

Hence, the speed in m/s = 11.17