Q1. A light plane is headed due south with a speed of 155 relative to still air. After 1.00 hour, the pilot notices that they have covered only 125 and their direction is not south but southeast (45.0). What is the wind velocity?

Q2. A 55 kg housepainter stands on a 17 kg aluminium platform. The platform is attached to a rope that passes through an overhead pulley that allows painter to raise her and the platform. (Ignore the mass of the pulley and any friction in the pulley.)

With what force F should she pull down on the rope to accelerate herself and platform upward at a rate of 0.77 m/s2?