MOTION OF A BOAT IN A RIVER
Motion in Plane

269872 A man can row a boat in still water with a velocity of\(8 \mathrm{kmph}\). Water is flowing in a river with a velocity of \(4 \mathrm{kmph}\). At what angle should he row the boat so as to reach the exact opposite point

1 \(150^{\circ}\) to flow of water
2 \(120^{\circ}\) to flow of water.
3 \(30^{\circ}\) to flow of water.
4 \(90^{\circ}\) to flow of water.
Motion in Plane

269873 A person can swim in still water at\(5 \mathrm{~m} / \mathrm{s}\). He moves in a river of velocity \(3 \mathrm{~m} / \mathrm{s}\), first down the stream and next same distance up the stream. The ratio of times taken are

1 \(1: 1\)
2 \(1: 2\)
3 \(1: 4\)
4 \(4: 1\)
Motion in Plane

269874 The velocity of water in a river is\(\mathbf{2} \mathbf{~ m m p h}\), while width is \(400 \mathrm{~m}\). A boat is rowed from a point rowing always aiming opposite point at \(8 \mathrm{kmph}\) of still water velocity. On reaching the opposite bank the drift obtained is

1 \(93 \mathrm{~m}\)
2 \(100.8 \mathrm{~m}\)
3 \(112.4 \mathrm{~m}\)
4 \(100 \mathrm{~m}\)
Motion in Plane

269875 A man can swim in still water at a speed of 4\(\mathrm{kmph}\). He desires to cross a river flowing at a speed of \(3 \mathrm{kmph}\) in the shortest time interval. If the width of the river is \(3 \mathrm{~km}\) time taken to cross the river (in hours) and the horizontal distance travelled ( in \(\mathbf{k m}\) ) are respectively

1 \(\frac{3}{4}, \frac{9}{4}\)
2 \(\frac{3}{5}, 3\)
3 \(\frac{1}{4}, \frac{15}{4}\)
4 \(\frac{3}{\sqrt{7}}, 7\)
Motion in Plane

269914 A man can swim in still water at a speed of 6\(\mathrm{kmph}\) and he has to cross the river and reach just opposite point on the other bank. If the river is flowing at a speed of \(3 \mathbf{k m p h}\), and the width of the river is \(2 \mathrm{~km}\), the time taken to cross the river is (in hours)

1 \(\frac{2}{27}\)
2 \(\frac{2}{\sqrt{27}}\)
3 \(\frac{2}{3}\)
4 \(\frac{2}{\sqrt{45}}\)
Motion in Plane

269872 A man can row a boat in still water with a velocity of\(8 \mathrm{kmph}\). Water is flowing in a river with a velocity of \(4 \mathrm{kmph}\). At what angle should he row the boat so as to reach the exact opposite point

1 \(150^{\circ}\) to flow of water
2 \(120^{\circ}\) to flow of water.
3 \(30^{\circ}\) to flow of water.
4 \(90^{\circ}\) to flow of water.
Motion in Plane

269873 A person can swim in still water at\(5 \mathrm{~m} / \mathrm{s}\). He moves in a river of velocity \(3 \mathrm{~m} / \mathrm{s}\), first down the stream and next same distance up the stream. The ratio of times taken are

1 \(1: 1\)
2 \(1: 2\)
3 \(1: 4\)
4 \(4: 1\)
Motion in Plane

269874 The velocity of water in a river is\(\mathbf{2} \mathbf{~ m m p h}\), while width is \(400 \mathrm{~m}\). A boat is rowed from a point rowing always aiming opposite point at \(8 \mathrm{kmph}\) of still water velocity. On reaching the opposite bank the drift obtained is

1 \(93 \mathrm{~m}\)
2 \(100.8 \mathrm{~m}\)
3 \(112.4 \mathrm{~m}\)
4 \(100 \mathrm{~m}\)
Motion in Plane

269875 A man can swim in still water at a speed of 4\(\mathrm{kmph}\). He desires to cross a river flowing at a speed of \(3 \mathrm{kmph}\) in the shortest time interval. If the width of the river is \(3 \mathrm{~km}\) time taken to cross the river (in hours) and the horizontal distance travelled ( in \(\mathbf{k m}\) ) are respectively

1 \(\frac{3}{4}, \frac{9}{4}\)
2 \(\frac{3}{5}, 3\)
3 \(\frac{1}{4}, \frac{15}{4}\)
4 \(\frac{3}{\sqrt{7}}, 7\)
Motion in Plane

269914 A man can swim in still water at a speed of 6\(\mathrm{kmph}\) and he has to cross the river and reach just opposite point on the other bank. If the river is flowing at a speed of \(3 \mathbf{k m p h}\), and the width of the river is \(2 \mathrm{~km}\), the time taken to cross the river is (in hours)

1 \(\frac{2}{27}\)
2 \(\frac{2}{\sqrt{27}}\)
3 \(\frac{2}{3}\)
4 \(\frac{2}{\sqrt{45}}\)
Motion in Plane

269872 A man can row a boat in still water with a velocity of\(8 \mathrm{kmph}\). Water is flowing in a river with a velocity of \(4 \mathrm{kmph}\). At what angle should he row the boat so as to reach the exact opposite point

1 \(150^{\circ}\) to flow of water
2 \(120^{\circ}\) to flow of water.
3 \(30^{\circ}\) to flow of water.
4 \(90^{\circ}\) to flow of water.
Motion in Plane

269873 A person can swim in still water at\(5 \mathrm{~m} / \mathrm{s}\). He moves in a river of velocity \(3 \mathrm{~m} / \mathrm{s}\), first down the stream and next same distance up the stream. The ratio of times taken are

1 \(1: 1\)
2 \(1: 2\)
3 \(1: 4\)
4 \(4: 1\)
Motion in Plane

269874 The velocity of water in a river is\(\mathbf{2} \mathbf{~ m m p h}\), while width is \(400 \mathrm{~m}\). A boat is rowed from a point rowing always aiming opposite point at \(8 \mathrm{kmph}\) of still water velocity. On reaching the opposite bank the drift obtained is

1 \(93 \mathrm{~m}\)
2 \(100.8 \mathrm{~m}\)
3 \(112.4 \mathrm{~m}\)
4 \(100 \mathrm{~m}\)
Motion in Plane

269875 A man can swim in still water at a speed of 4\(\mathrm{kmph}\). He desires to cross a river flowing at a speed of \(3 \mathrm{kmph}\) in the shortest time interval. If the width of the river is \(3 \mathrm{~km}\) time taken to cross the river (in hours) and the horizontal distance travelled ( in \(\mathbf{k m}\) ) are respectively

1 \(\frac{3}{4}, \frac{9}{4}\)
2 \(\frac{3}{5}, 3\)
3 \(\frac{1}{4}, \frac{15}{4}\)
4 \(\frac{3}{\sqrt{7}}, 7\)
Motion in Plane

269914 A man can swim in still water at a speed of 6\(\mathrm{kmph}\) and he has to cross the river and reach just opposite point on the other bank. If the river is flowing at a speed of \(3 \mathbf{k m p h}\), and the width of the river is \(2 \mathrm{~km}\), the time taken to cross the river is (in hours)

1 \(\frac{2}{27}\)
2 \(\frac{2}{\sqrt{27}}\)
3 \(\frac{2}{3}\)
4 \(\frac{2}{\sqrt{45}}\)
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Motion in Plane

269872 A man can row a boat in still water with a velocity of\(8 \mathrm{kmph}\). Water is flowing in a river with a velocity of \(4 \mathrm{kmph}\). At what angle should he row the boat so as to reach the exact opposite point

1 \(150^{\circ}\) to flow of water
2 \(120^{\circ}\) to flow of water.
3 \(30^{\circ}\) to flow of water.
4 \(90^{\circ}\) to flow of water.
Motion in Plane

269873 A person can swim in still water at\(5 \mathrm{~m} / \mathrm{s}\). He moves in a river of velocity \(3 \mathrm{~m} / \mathrm{s}\), first down the stream and next same distance up the stream. The ratio of times taken are

1 \(1: 1\)
2 \(1: 2\)
3 \(1: 4\)
4 \(4: 1\)
Motion in Plane

269874 The velocity of water in a river is\(\mathbf{2} \mathbf{~ m m p h}\), while width is \(400 \mathrm{~m}\). A boat is rowed from a point rowing always aiming opposite point at \(8 \mathrm{kmph}\) of still water velocity. On reaching the opposite bank the drift obtained is

1 \(93 \mathrm{~m}\)
2 \(100.8 \mathrm{~m}\)
3 \(112.4 \mathrm{~m}\)
4 \(100 \mathrm{~m}\)
Motion in Plane

269875 A man can swim in still water at a speed of 4\(\mathrm{kmph}\). He desires to cross a river flowing at a speed of \(3 \mathrm{kmph}\) in the shortest time interval. If the width of the river is \(3 \mathrm{~km}\) time taken to cross the river (in hours) and the horizontal distance travelled ( in \(\mathbf{k m}\) ) are respectively

1 \(\frac{3}{4}, \frac{9}{4}\)
2 \(\frac{3}{5}, 3\)
3 \(\frac{1}{4}, \frac{15}{4}\)
4 \(\frac{3}{\sqrt{7}}, 7\)
Motion in Plane

269914 A man can swim in still water at a speed of 6\(\mathrm{kmph}\) and he has to cross the river and reach just opposite point on the other bank. If the river is flowing at a speed of \(3 \mathbf{k m p h}\), and the width of the river is \(2 \mathrm{~km}\), the time taken to cross the river is (in hours)

1 \(\frac{2}{27}\)
2 \(\frac{2}{\sqrt{27}}\)
3 \(\frac{2}{3}\)
4 \(\frac{2}{\sqrt{45}}\)
Motion in Plane

269872 A man can row a boat in still water with a velocity of\(8 \mathrm{kmph}\). Water is flowing in a river with a velocity of \(4 \mathrm{kmph}\). At what angle should he row the boat so as to reach the exact opposite point

1 \(150^{\circ}\) to flow of water
2 \(120^{\circ}\) to flow of water.
3 \(30^{\circ}\) to flow of water.
4 \(90^{\circ}\) to flow of water.
Motion in Plane

269873 A person can swim in still water at\(5 \mathrm{~m} / \mathrm{s}\). He moves in a river of velocity \(3 \mathrm{~m} / \mathrm{s}\), first down the stream and next same distance up the stream. The ratio of times taken are

1 \(1: 1\)
2 \(1: 2\)
3 \(1: 4\)
4 \(4: 1\)
Motion in Plane

269874 The velocity of water in a river is\(\mathbf{2} \mathbf{~ m m p h}\), while width is \(400 \mathrm{~m}\). A boat is rowed from a point rowing always aiming opposite point at \(8 \mathrm{kmph}\) of still water velocity. On reaching the opposite bank the drift obtained is

1 \(93 \mathrm{~m}\)
2 \(100.8 \mathrm{~m}\)
3 \(112.4 \mathrm{~m}\)
4 \(100 \mathrm{~m}\)
Motion in Plane

269875 A man can swim in still water at a speed of 4\(\mathrm{kmph}\). He desires to cross a river flowing at a speed of \(3 \mathrm{kmph}\) in the shortest time interval. If the width of the river is \(3 \mathrm{~km}\) time taken to cross the river (in hours) and the horizontal distance travelled ( in \(\mathbf{k m}\) ) are respectively

1 \(\frac{3}{4}, \frac{9}{4}\)
2 \(\frac{3}{5}, 3\)
3 \(\frac{1}{4}, \frac{15}{4}\)
4 \(\frac{3}{\sqrt{7}}, 7\)
Motion in Plane

269914 A man can swim in still water at a speed of 6\(\mathrm{kmph}\) and he has to cross the river and reach just opposite point on the other bank. If the river is flowing at a speed of \(3 \mathbf{k m p h}\), and the width of the river is \(2 \mathrm{~km}\), the time taken to cross the river is (in hours)

1 \(\frac{2}{27}\)
2 \(\frac{2}{\sqrt{27}}\)
3 \(\frac{2}{3}\)
4 \(\frac{2}{\sqrt{45}}\)