A 20 kg child is sliding at 3 m/s across a frictionless frozen pond at -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.Part a) If the physics professor weighs 71.2 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?________ m/sPart b) At what angle (relative to the +x axis) with the duo be sliding after the rescue?________ degrees
