A river of width' a'with straight parallel banks flows due north with speed u. The points O and A are on oppo banks and A is due east of O. Coordinate axes Ox and Oy are taken in the east and north directions respecti poat, whose speed is v relative to water, starts from O and crosses the river. If the boat is steered due east a varies with x as : u = = x(a – x), Find : Find : equation of trajectory of the boat
A river of width' a'with straight parallel banks flows due north with speed u. The points O and A are on oppo banks and A is due east of O. Coordinate axes Ox and Oy are taken in the east and north directions respecti poat, whose speed is v relative to water, starts from O and crosses the river. If the boat is steered due east a varies with x as : u = = x(a – x), Find : Find : equation of trajectory of the boat
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Transcribed Image Text:A river of width' a' with straight parallel banks flows due north with speed u. The points O and A are on opposite
banks and A is due east of O. Coordinate axes Ox and Oy are taken in the east and north directions respectively. A
boat, whose speed is v relative to water, starts from O and crosses the river. If the boat is steered due east and u
varies with x as: u =
x(a – x). Find:
equation of trajectory of the boat
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