3) Boat A begins to do a \"doughnut\" at position 1. The speed of A at position 1 is 30MPH and is increasing at a constant rate of 2ft/s². Boat B is moving horizontally towards A at a speed of 19.773MPH with an acceleration of (-0.025v). Find: a) the speed of boat A when it arrives at position 2(angle 30° from the vertical), b) time it takes boat A to reach position 2, c) speed of boat B when A has reached position 2, d) rate of change of the angle at position 2, e) relative velocity and acceleration of A with respect to B at position 2, f) if the boats maintain their current conditions will the boats collide in position 3.
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