A 20 kg child is sliding at 3 m/s across a frictionless frozen pond a -45 degrees relative to the x-axis, straight towards a dangerous hole in the ice. A physics professor is out for a stroll when he spots the child in peril and heroically launches herself across the ice at 30 degrees relative to the x-axis to intercept the child. Required:
a. If the physics professor weighs 78.9 kg and launches herself across the ice with a velocity of 5 m/s. What is the magnitude of the velocity of the duo after the professor has grabbed the child?
b. At what angle (relative to the +x axis) with the duo be sliding after the rescue? Give an angle in degrees measured counter-clockwise from the x axis.