A physics professor is pushed up a ramp inclined upward at an angle 32.0 ∘ above the horizontal as he sits in his desk chair that slides on frictionless rollers. The combined mass of the professor and chair is 90.0 kg. He is pushed a distance 2.70 m along the incline by a group of students who together exert a constant horizontal force of 600 N. The professor's speed at the bottom of the ramp is 1.80 m/s. Find velocity at the top of the ramp.