Mathematics

Problem

A spacecraft’s speed

v

(in km/s) as a function of its distance

s

(in km) from a planet’s center is modeled for

s>2

v(s)=\frac{30}{\sqrt{s-2}}.

Calculate

\displaystyle \lim_{s\to 2^+} v(s)

and interpret what this means for the speed required very near

s=2\,

km.