A spacecraft, S$,$ releases a projectile, B$,$ at an altitude of $630$ km $,$ with a speed of $7,100\frac{m}{s}$ in a tangential direction to the horizontal plane of the earth. The moving object $B$ follows an elliptical orbit as shown below.

Find $(1)$ the angle of impact $$ and $(2)$ the impact velocity.

Radius of Earth $=6,370km,$ Gravitational constant $G=6\mathrm{.}67430{10}^{-11}{m}^{3}k{g}^{-1}{s}^{-2},$ Mass of Earth $5\mathrm{.}972{10}^{24}kg,$ and the standard gravitational parameter, GM$)$ is $3\mathrm{.}986{10}^{14}\frac{m^3}{s^2}$

The Ans: theta $=76\mathrm{.}4$ and v $=7\mathrm{.}9$km$/$s