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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98788aa5-bcf4-4be2-85cb-41b1bf937cc7%2Fa684e3c2-1445-4561-8a57-96bb00dd2dc0%2Fckr3ijh_processed.jpeg&w=3840&q=75)
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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