River is flowing with a velocity `v_(BR)=4hatim//s`. A boat is moving with a velocity of `v_(BR)=(-2hati+4hatj)m//s` relative to river. The width of the river is `100m` along `y`-direction. Choose the correct alternative(s)

A river of width omega is flowing with a uniform velocity v. A boat starts moving from point P also With velocity v relative to the river. The direction of resultant velocity is always perpendicular to the line joining boat and the fixed point R. Point Q is on the opposite side of the river. P, Q and R are in a straight line. If PQ=QR=omega, find (a) the trajectory of the boat, (b) the drifting of the boat and (c) the time taken by the boat to cross the river.

A boat is moving with a velocity (3hati +hatj) with respect to ground. The water in the river is moving with a velocity -3hati - 4hatj with respect to ground. What is the relative velocity of boat with respect to river ?

A boat is moving with a velocity 3hati - 4hatj w.r.t ground. The water in the river is moving with a velocity - 3hati -4hatj w.r.t ground. What is the relative velocity of boat w.r.t water.

A river 500m wide is flowing at a rate of 4 m//s. A boat is sailing at a velocity of 10 m//s with respect to the water, in a direction perpendicular to the river. The time taken by the boat to reach the opposite bank

A river 60m wide is flowing at a rate of 4m/s .A boat is sailing at a velocity of 20 m/s with respect to the river in a direction making an angle 37^(@) with the direction of river flow.Find time taken by the boat in seconds to reach the opposite bank. (A) 2 (B) 3 (C) sqrt(6) (D) 5

A boat is moving with a velocity 3 hat i+ 4hat j with respect to ground. The water in the river is moving with a velocity -3 hat i - 4 hat j with respect to ground. The relative velocity of the boat with respect to water is.

A block of mass m in floating in a river flowing with a velocity of 2m//s .A boat is moving behind the block with a velocity of 5m//s with respect to the block as shown.From the boat a stone is thrown with a velocity vecv=v_(1)hati-v_()hatj+v_(3)hatk with respect to the river such that it hits the block.If v_(1):v_(2):v_(3)=2sqrt3:2:3 then the velocity of the stone with respect to the ground is (g=10m//s^(2))

A river is flowing wih velocity 2 m//s . A boat is moving downstream. Velocity of boat in still water is 3 m//s . A person standing on boat throws a ball vertically upwards w.r.t. himself with a velocity to 10 m//s . At the topmost point the velocity of ball w.r.t. man standing on boat, w.r.t. river and w.r.t. ground respectively are