02. Relative Velocity in One Dimension
Motion in One Dimensions

141683 Rain is falling vertically downwards with a velocity of \(3 \mathrm{~km} / \mathrm{hr}\). A man walks in the rain with a velocity of \(4 \mathrm{~km} / \mathrm{hr}\). The rain drop will fall on the man with a velocity of

1 \(5 \mathrm{~km} / \mathrm{hr}\)
2 \(4 \mathrm{~km} / \mathrm{hr}\)
3 \(1 \mathrm{~km} / \mathrm{hr}\)
4 \(3 \mathrm{~km} / \mathrm{hr}\)
Motion in One Dimensions

141684 A \(150 \mathrm{~m}\) long train is travelling from east to west at a speed of \(20 \mathrm{~ms}^{-1}\). A bird is flying from west to east at a speed of \(5 \mathrm{~ms}^{-1}\). How long will the bird take to cross the train?

1 \(6 \mathrm{~s}\)
2 \(7.5 \mathrm{~s}\)
3 \(10 \mathrm{~s}\)
4 \(30 \mathrm{~s}\)
Motion in One Dimensions

141685 A train \(100 \mathrm{~m}\) long travelling at \(40 \mathrm{~m} / \mathrm{s}\) starts overtaking another train \(200 \mathrm{~m}\) long travelling at \(30 \mathrm{~m} / \mathrm{s}\). The time taken by the first train to pass the second train completely is-

1 \(30 \mathrm{~s}\)
2 \(40 \mathrm{~s}\)
3 \(50 \mathrm{~s}\)
4 \(60 \mathrm{~s}\)
Motion in One Dimensions

141687 A person is at a distance \(x\) from a bus when the bus begins to move with a constant acceleration a. What is the minimum velocity with which the person should run towards the bus so as to catch it?

1 \(2 \mathrm{ax}\)
2 \(\sqrt{2 \mathrm{ax}}\)
3 ax
4 \(\sqrt{\mathrm{ax}}\)
Motion in One Dimensions

141688 A person reaches a point directly opposite on the other band of a river. The velocity of the water in the river is \(4 \mathrm{~ms}^{-1}\) and the velocity of the person in still water is \(5 \mathrm{~ms}^{-1}\). If the width of the river is \(84.6 \mathrm{~m}\), time taken to cross the river in seconds is

1 28.2
2 9.4
3 2
4 84.6
Motion in One Dimensions

141683 Rain is falling vertically downwards with a velocity of \(3 \mathrm{~km} / \mathrm{hr}\). A man walks in the rain with a velocity of \(4 \mathrm{~km} / \mathrm{hr}\). The rain drop will fall on the man with a velocity of

1 \(5 \mathrm{~km} / \mathrm{hr}\)
2 \(4 \mathrm{~km} / \mathrm{hr}\)
3 \(1 \mathrm{~km} / \mathrm{hr}\)
4 \(3 \mathrm{~km} / \mathrm{hr}\)
Motion in One Dimensions

141684 A \(150 \mathrm{~m}\) long train is travelling from east to west at a speed of \(20 \mathrm{~ms}^{-1}\). A bird is flying from west to east at a speed of \(5 \mathrm{~ms}^{-1}\). How long will the bird take to cross the train?

1 \(6 \mathrm{~s}\)
2 \(7.5 \mathrm{~s}\)
3 \(10 \mathrm{~s}\)
4 \(30 \mathrm{~s}\)
Motion in One Dimensions

141685 A train \(100 \mathrm{~m}\) long travelling at \(40 \mathrm{~m} / \mathrm{s}\) starts overtaking another train \(200 \mathrm{~m}\) long travelling at \(30 \mathrm{~m} / \mathrm{s}\). The time taken by the first train to pass the second train completely is-

1 \(30 \mathrm{~s}\)
2 \(40 \mathrm{~s}\)
3 \(50 \mathrm{~s}\)
4 \(60 \mathrm{~s}\)
Motion in One Dimensions

141687 A person is at a distance \(x\) from a bus when the bus begins to move with a constant acceleration a. What is the minimum velocity with which the person should run towards the bus so as to catch it?

1 \(2 \mathrm{ax}\)
2 \(\sqrt{2 \mathrm{ax}}\)
3 ax
4 \(\sqrt{\mathrm{ax}}\)
Motion in One Dimensions

141688 A person reaches a point directly opposite on the other band of a river. The velocity of the water in the river is \(4 \mathrm{~ms}^{-1}\) and the velocity of the person in still water is \(5 \mathrm{~ms}^{-1}\). If the width of the river is \(84.6 \mathrm{~m}\), time taken to cross the river in seconds is

1 28.2
2 9.4
3 2
4 84.6
Motion in One Dimensions

141683 Rain is falling vertically downwards with a velocity of \(3 \mathrm{~km} / \mathrm{hr}\). A man walks in the rain with a velocity of \(4 \mathrm{~km} / \mathrm{hr}\). The rain drop will fall on the man with a velocity of

1 \(5 \mathrm{~km} / \mathrm{hr}\)
2 \(4 \mathrm{~km} / \mathrm{hr}\)
3 \(1 \mathrm{~km} / \mathrm{hr}\)
4 \(3 \mathrm{~km} / \mathrm{hr}\)
Motion in One Dimensions

141684 A \(150 \mathrm{~m}\) long train is travelling from east to west at a speed of \(20 \mathrm{~ms}^{-1}\). A bird is flying from west to east at a speed of \(5 \mathrm{~ms}^{-1}\). How long will the bird take to cross the train?

1 \(6 \mathrm{~s}\)
2 \(7.5 \mathrm{~s}\)
3 \(10 \mathrm{~s}\)
4 \(30 \mathrm{~s}\)
Motion in One Dimensions

141685 A train \(100 \mathrm{~m}\) long travelling at \(40 \mathrm{~m} / \mathrm{s}\) starts overtaking another train \(200 \mathrm{~m}\) long travelling at \(30 \mathrm{~m} / \mathrm{s}\). The time taken by the first train to pass the second train completely is-

1 \(30 \mathrm{~s}\)
2 \(40 \mathrm{~s}\)
3 \(50 \mathrm{~s}\)
4 \(60 \mathrm{~s}\)
Motion in One Dimensions

141687 A person is at a distance \(x\) from a bus when the bus begins to move with a constant acceleration a. What is the minimum velocity with which the person should run towards the bus so as to catch it?

1 \(2 \mathrm{ax}\)
2 \(\sqrt{2 \mathrm{ax}}\)
3 ax
4 \(\sqrt{\mathrm{ax}}\)
Motion in One Dimensions

141688 A person reaches a point directly opposite on the other band of a river. The velocity of the water in the river is \(4 \mathrm{~ms}^{-1}\) and the velocity of the person in still water is \(5 \mathrm{~ms}^{-1}\). If the width of the river is \(84.6 \mathrm{~m}\), time taken to cross the river in seconds is

1 28.2
2 9.4
3 2
4 84.6
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Motion in One Dimensions

141683 Rain is falling vertically downwards with a velocity of \(3 \mathrm{~km} / \mathrm{hr}\). A man walks in the rain with a velocity of \(4 \mathrm{~km} / \mathrm{hr}\). The rain drop will fall on the man with a velocity of

1 \(5 \mathrm{~km} / \mathrm{hr}\)
2 \(4 \mathrm{~km} / \mathrm{hr}\)
3 \(1 \mathrm{~km} / \mathrm{hr}\)
4 \(3 \mathrm{~km} / \mathrm{hr}\)
Motion in One Dimensions

141684 A \(150 \mathrm{~m}\) long train is travelling from east to west at a speed of \(20 \mathrm{~ms}^{-1}\). A bird is flying from west to east at a speed of \(5 \mathrm{~ms}^{-1}\). How long will the bird take to cross the train?

1 \(6 \mathrm{~s}\)
2 \(7.5 \mathrm{~s}\)
3 \(10 \mathrm{~s}\)
4 \(30 \mathrm{~s}\)
Motion in One Dimensions

141685 A train \(100 \mathrm{~m}\) long travelling at \(40 \mathrm{~m} / \mathrm{s}\) starts overtaking another train \(200 \mathrm{~m}\) long travelling at \(30 \mathrm{~m} / \mathrm{s}\). The time taken by the first train to pass the second train completely is-

1 \(30 \mathrm{~s}\)
2 \(40 \mathrm{~s}\)
3 \(50 \mathrm{~s}\)
4 \(60 \mathrm{~s}\)
Motion in One Dimensions

141687 A person is at a distance \(x\) from a bus when the bus begins to move with a constant acceleration a. What is the minimum velocity with which the person should run towards the bus so as to catch it?

1 \(2 \mathrm{ax}\)
2 \(\sqrt{2 \mathrm{ax}}\)
3 ax
4 \(\sqrt{\mathrm{ax}}\)
Motion in One Dimensions

141688 A person reaches a point directly opposite on the other band of a river. The velocity of the water in the river is \(4 \mathrm{~ms}^{-1}\) and the velocity of the person in still water is \(5 \mathrm{~ms}^{-1}\). If the width of the river is \(84.6 \mathrm{~m}\), time taken to cross the river in seconds is

1 28.2
2 9.4
3 2
4 84.6
Motion in One Dimensions

141683 Rain is falling vertically downwards with a velocity of \(3 \mathrm{~km} / \mathrm{hr}\). A man walks in the rain with a velocity of \(4 \mathrm{~km} / \mathrm{hr}\). The rain drop will fall on the man with a velocity of

1 \(5 \mathrm{~km} / \mathrm{hr}\)
2 \(4 \mathrm{~km} / \mathrm{hr}\)
3 \(1 \mathrm{~km} / \mathrm{hr}\)
4 \(3 \mathrm{~km} / \mathrm{hr}\)
Motion in One Dimensions

141684 A \(150 \mathrm{~m}\) long train is travelling from east to west at a speed of \(20 \mathrm{~ms}^{-1}\). A bird is flying from west to east at a speed of \(5 \mathrm{~ms}^{-1}\). How long will the bird take to cross the train?

1 \(6 \mathrm{~s}\)
2 \(7.5 \mathrm{~s}\)
3 \(10 \mathrm{~s}\)
4 \(30 \mathrm{~s}\)
Motion in One Dimensions

141685 A train \(100 \mathrm{~m}\) long travelling at \(40 \mathrm{~m} / \mathrm{s}\) starts overtaking another train \(200 \mathrm{~m}\) long travelling at \(30 \mathrm{~m} / \mathrm{s}\). The time taken by the first train to pass the second train completely is-

1 \(30 \mathrm{~s}\)
2 \(40 \mathrm{~s}\)
3 \(50 \mathrm{~s}\)
4 \(60 \mathrm{~s}\)
Motion in One Dimensions

141687 A person is at a distance \(x\) from a bus when the bus begins to move with a constant acceleration a. What is the minimum velocity with which the person should run towards the bus so as to catch it?

1 \(2 \mathrm{ax}\)
2 \(\sqrt{2 \mathrm{ax}}\)
3 ax
4 \(\sqrt{\mathrm{ax}}\)
Motion in One Dimensions

141688 A person reaches a point directly opposite on the other band of a river. The velocity of the water in the river is \(4 \mathrm{~ms}^{-1}\) and the velocity of the person in still water is \(5 \mathrm{~ms}^{-1}\). If the width of the river is \(84.6 \mathrm{~m}\), time taken to cross the river in seconds is

1 28.2
2 9.4
3 2
4 84.6