Assignment:
Ignoring resistance, a sailboat starting from rest accelerates at a rate proportional to the difference between the velocities of the wind and the boat.
(a) The wind is blowing at 20 knots, and after 1 half-hour the boat is moving at 10 knots. Write the velocity as a function of time .
(b) Use the result of part (a) to write the distance traveled by the boat as a function of time.
Provide complete and step by step solution for the question and show calculations and use formulas.