(a) A renowned physicist is working on Project Quackinton. The mission - send a rubber duck into a moving black hole. The duck is approaching a point P from the north at 60 AU/light year. How fast is the black hole travelling if the distance between the duck and the blackhole is increasing at 20 AU/light year? At the moment, the rubber duck is 0.6 AU north, the blackhole is 0.8 AU east of the same point P.