A particle moves under a central repulsive force $,$ and is pro$-$

jected from an apse at a distance a with velocity $V.$ Shew that the equation to the

path is $rcosp=a,$ and that the angle $$ described in time $t$ is

$\frac{1}{p}ta{n}^{-1}[\frac{pV}{a}t],$ where $p^2=\frac{+a^2{V}^2}{a^2{V}^2}$