a ship sailing in a straight line, its position in time (t) is (-t 600, 2T-300) of a man is an island?

and placed in (200,100) you may see in a radius of 200 meters with the center position. in which points of the circle and the intersection line of travel?

Equation locus of the vision of man: (x-200) ^ 2 + (Y-100) ^ 2 = 200 ^ 2 (x-200) ^ 2 + (y-100) ^ 2 = 40000 When x =- 600 t , y = 2T-300, (-t 600-200) ^ 2 + (2t-300-100) ^ 2 = 40000 (400-t) ^ 2 + (2t-400) ^ 2 = 40000 160000 – 800t + t ^ 2 + 4t ^ 2 – 1600T + 160000 t = 40000 5 ^ 2 – 2400t + 320000 to 40000 = 0 5 t ^ 2 – 2400t + 280000 = 0 t ^ 2 – 480t + 56000 = 0 t = [480 + - SQRT (230400-4 (1) (56000)] / 2 t = [480 + - 80 ] / 2 t = 280, 100S When t = 280 (-280 600, 2 (280) -300) = (320, 260) When t = 100 (-100 600, 2 (100) -300) = (500, -100)

Summer Sailstice 2009 – Treasure Island Sailing Center Party

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