143751 The stream of a river is flowing with a speed of \(2 \mathrm{~km} / \mathrm{h}\). A swimmer can swim at a speed of 4 \(\mathrm{km} / \mathrm{h}\). What should be the direction of the swimmer with respect to the flow of the river to cross the river straight?

143752 A butterfly is flying with a velocity \(4 \sqrt{2} \mathrm{~m} / \mathrm{s}\) in North-East direction. Wind is slowly blowing at \(1 \mathrm{~m} / \mathrm{s}\) from North to South. The resultant displacement of the butterfly in \(3 \mathrm{~s}\) is

143754 A particle of mass \(4 \mathrm{~m}\) explodes into three pieces of masses \(\mathrm{m}, \mathrm{m}\) and \(2 \mathrm{~m}\). The equal masses move along \(\mathrm{X}\)-axis and \(\mathrm{Y}\)-axis with velocities \(4 \mathrm{~ms}^{-1}\) and \(6 \mathrm{~ms}^{-1}\) respectively. The magnitude of the velocity of the heavier mass is

143755 Two trains, which are moving along different tracks in opposite directions, are put on the same track by mistake. On noticing the mistake, when the trains are \(300 \mathrm{~m}\) apart the drivers start slowing down the trains. The graphs given below show decrease in their
velocities as function of time. The separation between the trains when both have stopped is

1 \(120 \mathrm{~m}\)

2 \(20 \mathrm{~m}\)

3 \(60 \mathrm{~m}\)

4 \(280 \mathrm{~m}\)

143751 The stream of a river is flowing with a speed of \(2 \mathrm{~km} / \mathrm{h}\). A swimmer can swim at a speed of 4 \(\mathrm{km} / \mathrm{h}\). What should be the direction of the swimmer with respect to the flow of the river to cross the river straight?

143752 A butterfly is flying with a velocity \(4 \sqrt{2} \mathrm{~m} / \mathrm{s}\) in North-East direction. Wind is slowly blowing at \(1 \mathrm{~m} / \mathrm{s}\) from North to South. The resultant displacement of the butterfly in \(3 \mathrm{~s}\) is

143754 A particle of mass \(4 \mathrm{~m}\) explodes into three pieces of masses \(\mathrm{m}, \mathrm{m}\) and \(2 \mathrm{~m}\). The equal masses move along \(\mathrm{X}\)-axis and \(\mathrm{Y}\)-axis with velocities \(4 \mathrm{~ms}^{-1}\) and \(6 \mathrm{~ms}^{-1}\) respectively. The magnitude of the velocity of the heavier mass is

143755 Two trains, which are moving along different tracks in opposite directions, are put on the same track by mistake. On noticing the mistake, when the trains are \(300 \mathrm{~m}\) apart the drivers start slowing down the trains. The graphs given below show decrease in their
velocities as function of time. The separation between the trains when both have stopped is

1 \(120 \mathrm{~m}\)

2 \(20 \mathrm{~m}\)

3 \(60 \mathrm{~m}\)

4 \(280 \mathrm{~m}\)

143751 The stream of a river is flowing with a speed of \(2 \mathrm{~km} / \mathrm{h}\). A swimmer can swim at a speed of 4 \(\mathrm{km} / \mathrm{h}\). What should be the direction of the swimmer with respect to the flow of the river to cross the river straight?

143752 A butterfly is flying with a velocity \(4 \sqrt{2} \mathrm{~m} / \mathrm{s}\) in North-East direction. Wind is slowly blowing at \(1 \mathrm{~m} / \mathrm{s}\) from North to South. The resultant displacement of the butterfly in \(3 \mathrm{~s}\) is

143754 A particle of mass \(4 \mathrm{~m}\) explodes into three pieces of masses \(\mathrm{m}, \mathrm{m}\) and \(2 \mathrm{~m}\). The equal masses move along \(\mathrm{X}\)-axis and \(\mathrm{Y}\)-axis with velocities \(4 \mathrm{~ms}^{-1}\) and \(6 \mathrm{~ms}^{-1}\) respectively. The magnitude of the velocity of the heavier mass is

143755 Two trains, which are moving along different tracks in opposite directions, are put on the same track by mistake. On noticing the mistake, when the trains are \(300 \mathrm{~m}\) apart the drivers start slowing down the trains. The graphs given below show decrease in their
velocities as function of time. The separation between the trains when both have stopped is

1 \(120 \mathrm{~m}\)

2 \(20 \mathrm{~m}\)

3 \(60 \mathrm{~m}\)

4 \(280 \mathrm{~m}\)

143751 The stream of a river is flowing with a speed of \(2 \mathrm{~km} / \mathrm{h}\). A swimmer can swim at a speed of 4 \(\mathrm{km} / \mathrm{h}\). What should be the direction of the swimmer with respect to the flow of the river to cross the river straight?

143752 A butterfly is flying with a velocity \(4 \sqrt{2} \mathrm{~m} / \mathrm{s}\) in North-East direction. Wind is slowly blowing at \(1 \mathrm{~m} / \mathrm{s}\) from North to South. The resultant displacement of the butterfly in \(3 \mathrm{~s}\) is

143754 A particle of mass \(4 \mathrm{~m}\) explodes into three pieces of masses \(\mathrm{m}, \mathrm{m}\) and \(2 \mathrm{~m}\). The equal masses move along \(\mathrm{X}\)-axis and \(\mathrm{Y}\)-axis with velocities \(4 \mathrm{~ms}^{-1}\) and \(6 \mathrm{~ms}^{-1}\) respectively. The magnitude of the velocity of the heavier mass is

143755 Two trains, which are moving along different tracks in opposite directions, are put on the same track by mistake. On noticing the mistake, when the trains are \(300 \mathrm{~m}\) apart the drivers start slowing down the trains. The graphs given below show decrease in their
velocities as function of time. The separation between the trains when both have stopped is

1 \(120 \mathrm{~m}\)

2 \(20 \mathrm{~m}\)

3 \(60 \mathrm{~m}\)

4 \(280 \mathrm{~m}\)