IP Two rocket ships are racing toward Earth, as shown in Figure $29-31 .$ Ship $A$ is in the lead, approaching the Earth at $0.80 c$ and separating from ship $\mathrm{B}$ with a relative speed of $0.50 \mathrm{c}$. (a) As seen from Earth, what is the speed, $v,$ of ship B?
(b) If ship $A$ increases its speed by $0.10 \mathrm{c}$ relative to the Earth, does the relative speed between ship A and ship $B$ increase by $0.10 c,$ by more than $0.10 c,$ or by less than $0.10 c ?$ Explain. (c) Find the relative speed between ships $\mathrm{A}$ and $\mathrm{B}$ for the situation described in part (b).