An aircraft is executing a surveillance dive motion while tracked by the radar directly below at O $.$ For the instant shown the radar data gives

$r=1000m,=40,r^{}=20\frac{m}{s},{}^{}=-0\mathrm{.}052ra\frac{d}{s},r^{}=6\frac{m}{s^2},{}^{}=0\mathrm{.}011ra\frac{d}{s^2}$

Find,

Find,

a$)$ The velocity of this aircraft and its $x-$ and $y-$components,

b$)$ The acceleration of this aircraft and its normal and tangential components,

c$)$ The rate at which the speed changes, and the radius of curvature of the dive motion.