A river of width 'a' flows due North with speed 'u'. The points O and A are on opposite banksand A is due east of 'O' . Co-ordinate axes OXand OY are takenin the east the 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)V//a^(2) then a) Equation of trajeetory of the boat b) Time take to cross the river c) Absolute velocity of boat man when the reaches the opposite bank d) The displacement of boat man when he reaches the opposite bank are a) y=(x^(2))/(pa) - (x^(3))/(3a^(2)), b) t= (a)/(qV), c) rV, d) s= a hat(i) + a/k hat(j). The value of p,q , r, k are

A river of width 'a' flows due North with speed 'u'. The points O and

1.	A river of width 'a' flows due North with speed 'u'. The points O and A are on opposite banksand A is due east of 'O' . Co-ordinate axes OXand OY are takenin the east the 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)V//a^(2) then a) Equation of trajeetory of the boat b) Time take to cross the river c) Absolute velocity of boat man when the reaches the opposite bank d) The displacement of boat man when he reaches the opposite bank are a) y=(x^(2))/(pa) - (x^(3))/(3a^(2)), b) t= (a)/(qV), c) rV, d) s= a hat(i) + a/k hat(j). The value of p,q , r, k are
Answer» ANSWER :2, 1, 1, 6