Consider the Sun to be at the origin of an xy-coordinate system. A telescope spots an asteroid in the xy-plane at a position given by (2.27·1011 m,3.87·1011 m) with a velocity given by (-5.91·103 m/s,-4.41·103 m/s).
a) What will the asteroid's velocity be at closest approach?
b) What will the asteroid's distance from the Sun be at closest approach?