Question #$5$: $(25$ points$)$

An object flying at a constant vertical velocity $v=25\frac{m}{s}$ is

being tracked by radar. Find the value of $r,r^{},$vec$(F),{}^{},$vec$()$ when $=50.$

The horizontal distance $d=300m.$

Normal. Tangential Coordinates: vec$(v)=$vvec$(e_t)$;vec$(a)=\frac{dv}{dt}$vec$(e_t)+\frac{v^2}{}$vec$(e{)}_n$

Radial$-$Transverse coordinates: vec$(r)=$rvec$(e_r)$

vec$(v)=r^{}{e}_r^{}+r{}^{}$vec$(e_{})$

vec$(a)=((r^{})-r{}^{}{?}^2)vec(e_r)+(r{}^{}+2r^{}{}^{})vec(e_{})$