02. Relative Velocity in One Dimension
Motion in One Dimensions

141689 Two cars going round curve with speeds one at \(90 \mathrm{~km} / \mathrm{h}\) and other at \(15 \mathrm{~km} / \mathrm{h}\). Each car experiences same acceleration. The radii of curves are in the ratio of :

1 \(4: 1\)
2 \(2: 1\)
3 \(16: 1\)
4 \(36: 1\)
Motion in One Dimensions

141690 A boat is sent across a river with a velocity of 8 \(\mathrm{kmh}^{-1}\). If the resultant velocity of boat is \(10 \mathrm{~km}\) \(h^{-1}\), then velocity of river is

1 \(12.8 \mathrm{~km} \mathrm{~h}^{-1}\)
2 \(6 \mathrm{~km} \mathrm{~h}^{-1}\)
3 \(8 \mathrm{~km} \mathrm{~h}^{-1}\)
4 \(10 \mathrm{~km} \mathrm{~h}^{-1}\)
Motion in One Dimensions

141691 A train of \(150 \mathrm{~m}\) length is going towards North direction at a speed of \(10 \mathrm{~m} / \mathrm{s}\). A parrot flies at the speed of \(5 \mathrm{~m} / \mathrm{s}\) towards South direction parallel to the railways track. The time taken by the parrot to cross the train is

1 \(12 \mathrm{~s}\)
2 \(8 \mathrm{~s}\)
3 \(15 \mathrm{~s}\)
4 \(10 \mathrm{~s}\)
Motion in One Dimensions

141692 In any system, large number of particles are moving randomly with a constant speed of \(v\) in all possible directions. Then the magnitude of the relative velocity between a of particles averaged over all the pairs in the collection will be

1 0
2 \(2 \pi v\)
3 \(\frac{2 v}{\pi}\)
4 \(\frac{4 v}{\pi}\)
Motion in One Dimensions

141689 Two cars going round curve with speeds one at \(90 \mathrm{~km} / \mathrm{h}\) and other at \(15 \mathrm{~km} / \mathrm{h}\). Each car experiences same acceleration. The radii of curves are in the ratio of :

1 \(4: 1\)
2 \(2: 1\)
3 \(16: 1\)
4 \(36: 1\)
Motion in One Dimensions

141690 A boat is sent across a river with a velocity of 8 \(\mathrm{kmh}^{-1}\). If the resultant velocity of boat is \(10 \mathrm{~km}\) \(h^{-1}\), then velocity of river is

1 \(12.8 \mathrm{~km} \mathrm{~h}^{-1}\)
2 \(6 \mathrm{~km} \mathrm{~h}^{-1}\)
3 \(8 \mathrm{~km} \mathrm{~h}^{-1}\)
4 \(10 \mathrm{~km} \mathrm{~h}^{-1}\)
Motion in One Dimensions

141691 A train of \(150 \mathrm{~m}\) length is going towards North direction at a speed of \(10 \mathrm{~m} / \mathrm{s}\). A parrot flies at the speed of \(5 \mathrm{~m} / \mathrm{s}\) towards South direction parallel to the railways track. The time taken by the parrot to cross the train is

1 \(12 \mathrm{~s}\)
2 \(8 \mathrm{~s}\)
3 \(15 \mathrm{~s}\)
4 \(10 \mathrm{~s}\)
Motion in One Dimensions

141692 In any system, large number of particles are moving randomly with a constant speed of \(v\) in all possible directions. Then the magnitude of the relative velocity between a of particles averaged over all the pairs in the collection will be

1 0
2 \(2 \pi v\)
3 \(\frac{2 v}{\pi}\)
4 \(\frac{4 v}{\pi}\)
Motion in One Dimensions

141689 Two cars going round curve with speeds one at \(90 \mathrm{~km} / \mathrm{h}\) and other at \(15 \mathrm{~km} / \mathrm{h}\). Each car experiences same acceleration. The radii of curves are in the ratio of :

1 \(4: 1\)
2 \(2: 1\)
3 \(16: 1\)
4 \(36: 1\)
Motion in One Dimensions

141690 A boat is sent across a river with a velocity of 8 \(\mathrm{kmh}^{-1}\). If the resultant velocity of boat is \(10 \mathrm{~km}\) \(h^{-1}\), then velocity of river is

1 \(12.8 \mathrm{~km} \mathrm{~h}^{-1}\)
2 \(6 \mathrm{~km} \mathrm{~h}^{-1}\)
3 \(8 \mathrm{~km} \mathrm{~h}^{-1}\)
4 \(10 \mathrm{~km} \mathrm{~h}^{-1}\)
Motion in One Dimensions

141691 A train of \(150 \mathrm{~m}\) length is going towards North direction at a speed of \(10 \mathrm{~m} / \mathrm{s}\). A parrot flies at the speed of \(5 \mathrm{~m} / \mathrm{s}\) towards South direction parallel to the railways track. The time taken by the parrot to cross the train is

1 \(12 \mathrm{~s}\)
2 \(8 \mathrm{~s}\)
3 \(15 \mathrm{~s}\)
4 \(10 \mathrm{~s}\)
Motion in One Dimensions

141692 In any system, large number of particles are moving randomly with a constant speed of \(v\) in all possible directions. Then the magnitude of the relative velocity between a of particles averaged over all the pairs in the collection will be

1 0
2 \(2 \pi v\)
3 \(\frac{2 v}{\pi}\)
4 \(\frac{4 v}{\pi}\)
Motion in One Dimensions

141689 Two cars going round curve with speeds one at \(90 \mathrm{~km} / \mathrm{h}\) and other at \(15 \mathrm{~km} / \mathrm{h}\). Each car experiences same acceleration. The radii of curves are in the ratio of :

1 \(4: 1\)
2 \(2: 1\)
3 \(16: 1\)
4 \(36: 1\)
Motion in One Dimensions

141690 A boat is sent across a river with a velocity of 8 \(\mathrm{kmh}^{-1}\). If the resultant velocity of boat is \(10 \mathrm{~km}\) \(h^{-1}\), then velocity of river is

1 \(12.8 \mathrm{~km} \mathrm{~h}^{-1}\)
2 \(6 \mathrm{~km} \mathrm{~h}^{-1}\)
3 \(8 \mathrm{~km} \mathrm{~h}^{-1}\)
4 \(10 \mathrm{~km} \mathrm{~h}^{-1}\)
Motion in One Dimensions

141691 A train of \(150 \mathrm{~m}\) length is going towards North direction at a speed of \(10 \mathrm{~m} / \mathrm{s}\). A parrot flies at the speed of \(5 \mathrm{~m} / \mathrm{s}\) towards South direction parallel to the railways track. The time taken by the parrot to cross the train is

1 \(12 \mathrm{~s}\)
2 \(8 \mathrm{~s}\)
3 \(15 \mathrm{~s}\)
4 \(10 \mathrm{~s}\)
Motion in One Dimensions

141692 In any system, large number of particles are moving randomly with a constant speed of \(v\) in all possible directions. Then the magnitude of the relative velocity between a of particles averaged over all the pairs in the collection will be

1 0
2 \(2 \pi v\)
3 \(\frac{2 v}{\pi}\)
4 \(\frac{4 v}{\pi}\)