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 (x, y) with a velocity given by (vx, vy).
[DATA: (x, y) = (3.3, 5.5) ×10^11 m;
(vx, vy) = (-6.1, -4.0) ×103^ m/s.]
(A) What will the asteroid's speed be at closest approach (perihelion)?
(B) What will the asteroid's distance from the Sun be at closest approach?