MOTION OF A BOAT IN A RIVER
Motion in Plane

269915 A boat moves perpendicular to the bank with a velocity of\(7.2 \mathrm{~km} / \mathrm{h}\). The current carries it \(150 \mathrm{~m}\) downstream, find the velocity of the current(The width of the river is \(0.5 \mathrm{~km}\) ).

1 \(0.4 \mathrm{~ms}^{-1}\)
2 \(1.2 \mathrm{~ms}^{-1}\)
3 \(0.5 \mathrm{~ms}^{-1}\)
4 \(0.6 \mathrm{~ms}^{-1}\)
Motion in Plane

269916 A swimmer is capable of swimming\(1.65 \mathrm{~ms}^{-1}\) in still water. If she swims directly across a \(180 \mathrm{~m}\) wide river whose current is \(0.85 \mathrm{~ms}^{-1}\), how far downstream(from a point opposite her starting point) will she reach

1 \(92.7 \mathrm{~m}\)
2 \(40 \mathrm{~m}\)
3 \(48 \mathrm{~m}\)
4 \(20 \mathrm{~m}\)
Motion in Plane

269917 A person swims at\(135^{\circ}\) to current of river, to meet target on reaching opposite point. The ratio of person's velocity to river water velocity is

1 \(\sqrt{3}: 1\)
2 \(\sqrt{2}: 1\)
3 \(1: \sqrt{2}\)
4 \(1: \sqrt{3}\)
Motion in Plane

269954 A boat takes 2 hours to travel \(8 \mathrm{~km}\) and back in still water lake. With water velocity of 4 kmph, the time taken for going upstream of \(\mathbf{8 k m}\) and coming back is

1 160 minutes
2 80 minutes
3 320 minutes
4 180 minutes
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Motion in Plane

269915 A boat moves perpendicular to the bank with a velocity of\(7.2 \mathrm{~km} / \mathrm{h}\). The current carries it \(150 \mathrm{~m}\) downstream, find the velocity of the current(The width of the river is \(0.5 \mathrm{~km}\) ).

1 \(0.4 \mathrm{~ms}^{-1}\)
2 \(1.2 \mathrm{~ms}^{-1}\)
3 \(0.5 \mathrm{~ms}^{-1}\)
4 \(0.6 \mathrm{~ms}^{-1}\)
Motion in Plane

269916 A swimmer is capable of swimming\(1.65 \mathrm{~ms}^{-1}\) in still water. If she swims directly across a \(180 \mathrm{~m}\) wide river whose current is \(0.85 \mathrm{~ms}^{-1}\), how far downstream(from a point opposite her starting point) will she reach

1 \(92.7 \mathrm{~m}\)
2 \(40 \mathrm{~m}\)
3 \(48 \mathrm{~m}\)
4 \(20 \mathrm{~m}\)
Motion in Plane

269917 A person swims at\(135^{\circ}\) to current of river, to meet target on reaching opposite point. The ratio of person's velocity to river water velocity is

1 \(\sqrt{3}: 1\)
2 \(\sqrt{2}: 1\)
3 \(1: \sqrt{2}\)
4 \(1: \sqrt{3}\)
Motion in Plane

269954 A boat takes 2 hours to travel \(8 \mathrm{~km}\) and back in still water lake. With water velocity of 4 kmph, the time taken for going upstream of \(\mathbf{8 k m}\) and coming back is

1 160 minutes
2 80 minutes
3 320 minutes
4 180 minutes
Motion in Plane

269915 A boat moves perpendicular to the bank with a velocity of\(7.2 \mathrm{~km} / \mathrm{h}\). The current carries it \(150 \mathrm{~m}\) downstream, find the velocity of the current(The width of the river is \(0.5 \mathrm{~km}\) ).

1 \(0.4 \mathrm{~ms}^{-1}\)
2 \(1.2 \mathrm{~ms}^{-1}\)
3 \(0.5 \mathrm{~ms}^{-1}\)
4 \(0.6 \mathrm{~ms}^{-1}\)
Motion in Plane

269916 A swimmer is capable of swimming\(1.65 \mathrm{~ms}^{-1}\) in still water. If she swims directly across a \(180 \mathrm{~m}\) wide river whose current is \(0.85 \mathrm{~ms}^{-1}\), how far downstream(from a point opposite her starting point) will she reach

1 \(92.7 \mathrm{~m}\)
2 \(40 \mathrm{~m}\)
3 \(48 \mathrm{~m}\)
4 \(20 \mathrm{~m}\)
Motion in Plane

269917 A person swims at\(135^{\circ}\) to current of river, to meet target on reaching opposite point. The ratio of person's velocity to river water velocity is

1 \(\sqrt{3}: 1\)
2 \(\sqrt{2}: 1\)
3 \(1: \sqrt{2}\)
4 \(1: \sqrt{3}\)
Motion in Plane

269954 A boat takes 2 hours to travel \(8 \mathrm{~km}\) and back in still water lake. With water velocity of 4 kmph, the time taken for going upstream of \(\mathbf{8 k m}\) and coming back is

1 160 minutes
2 80 minutes
3 320 minutes
4 180 minutes
Motion in Plane

269915 A boat moves perpendicular to the bank with a velocity of\(7.2 \mathrm{~km} / \mathrm{h}\). The current carries it \(150 \mathrm{~m}\) downstream, find the velocity of the current(The width of the river is \(0.5 \mathrm{~km}\) ).

1 \(0.4 \mathrm{~ms}^{-1}\)
2 \(1.2 \mathrm{~ms}^{-1}\)
3 \(0.5 \mathrm{~ms}^{-1}\)
4 \(0.6 \mathrm{~ms}^{-1}\)
Motion in Plane

269916 A swimmer is capable of swimming\(1.65 \mathrm{~ms}^{-1}\) in still water. If she swims directly across a \(180 \mathrm{~m}\) wide river whose current is \(0.85 \mathrm{~ms}^{-1}\), how far downstream(from a point opposite her starting point) will she reach

1 \(92.7 \mathrm{~m}\)
2 \(40 \mathrm{~m}\)
3 \(48 \mathrm{~m}\)
4 \(20 \mathrm{~m}\)
Motion in Plane

269917 A person swims at\(135^{\circ}\) to current of river, to meet target on reaching opposite point. The ratio of person's velocity to river water velocity is

1 \(\sqrt{3}: 1\)
2 \(\sqrt{2}: 1\)
3 \(1: \sqrt{2}\)
4 \(1: \sqrt{3}\)
Motion in Plane

269954 A boat takes 2 hours to travel \(8 \mathrm{~km}\) and back in still water lake. With water velocity of 4 kmph, the time taken for going upstream of \(\mathbf{8 k m}\) and coming back is

1 160 minutes
2 80 minutes
3 320 minutes
4 180 minutes