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 = a(a – x). Find : - the displacement of boatman when he reaches the opposite bank from the initial position.
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 = a(a – x). Find : - the displacement of boatman when he reaches the opposite bank from the initial position.
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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 :
the displacement of boatman when he reaches the opposite bank from the initial position.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98788aa5-bcf4-4be2-85cb-41b1bf937cc7%2F5f6a967b-5a22-46ca-b467-fb1887281809%2F7l3q8ec_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 :
the displacement of boatman when he reaches the opposite bank from the initial position.
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