02. Relative Velocity in One Dimension
Motion in One Dimensions

141675 A student is standing at a distance of 50 metres from the bus. As soon as the bus begins its motion with an acceleration of \(1 \mathrm{~m} / \mathrm{s}^{2}\), the student starts running towards the bus with a uniform velocity \(u\). Assuming the motion to be along a straight road, the minimum value of \(u\). So that the student is able to catch the bus is :

1 \(8 \mathrm{~ms}^{-1}\)
2 \(5 \mathrm{~ms}^{-1}\)
3 \(12 \mathrm{~ms}^{-1}\)
4 \(10 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141676 From a balloon rising vertically upwards at 5 \(\mathrm{m} / \mathrm{s}\) a stone is thrown up at \(10 \mathrm{~m} / \mathrm{s}\) relative to the balloon. Its velocity with respect to ground after \(2 \mathrm{~s}\) is (assume \(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 0
2 \(20 \mathrm{~m} / \mathrm{s}\)
3 \(10 \mathrm{~m} / \mathrm{s}\)
4 \(5 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141677 The velocity of sound in a gas is \(1300 \mathrm{~m} / \mathrm{s}\) at STP and specific heat at constant pressure is \(6.84 \mathrm{cal} \mathrm{K}^{-1} \mathrm{~mol}^{-1}\). The rms velocity at STP is \(\left(\mathrm{R}=1.98 \mathrm{cal} \mathrm{K}^{-1} \mathrm{~mol}^{-1}\right.\) )

1 \(1300 \mathrm{~m} / \mathrm{s}\)
2 \(2600 \mathrm{~m} / \mathrm{s}\)
3 \(1898 \mathrm{~m} / \mathrm{s}\)
4 \(650 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141678 An aeroplane is flying with a uniform speed of \(150 \mathrm{~km} \mathrm{~h}^{-1}\) along the circumference of a circle. The change in its velocity in half the revolution (in \(\mathrm{km} \mathrm{h}^{-1}\) ) is

1 150
2 100
3 200
4 300
5 50
Motion in One Dimensions

141675 A student is standing at a distance of 50 metres from the bus. As soon as the bus begins its motion with an acceleration of \(1 \mathrm{~m} / \mathrm{s}^{2}\), the student starts running towards the bus with a uniform velocity \(u\). Assuming the motion to be along a straight road, the minimum value of \(u\). So that the student is able to catch the bus is :

1 \(8 \mathrm{~ms}^{-1}\)
2 \(5 \mathrm{~ms}^{-1}\)
3 \(12 \mathrm{~ms}^{-1}\)
4 \(10 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141676 From a balloon rising vertically upwards at 5 \(\mathrm{m} / \mathrm{s}\) a stone is thrown up at \(10 \mathrm{~m} / \mathrm{s}\) relative to the balloon. Its velocity with respect to ground after \(2 \mathrm{~s}\) is (assume \(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 0
2 \(20 \mathrm{~m} / \mathrm{s}\)
3 \(10 \mathrm{~m} / \mathrm{s}\)
4 \(5 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141677 The velocity of sound in a gas is \(1300 \mathrm{~m} / \mathrm{s}\) at STP and specific heat at constant pressure is \(6.84 \mathrm{cal} \mathrm{K}^{-1} \mathrm{~mol}^{-1}\). The rms velocity at STP is \(\left(\mathrm{R}=1.98 \mathrm{cal} \mathrm{K}^{-1} \mathrm{~mol}^{-1}\right.\) )

1 \(1300 \mathrm{~m} / \mathrm{s}\)
2 \(2600 \mathrm{~m} / \mathrm{s}\)
3 \(1898 \mathrm{~m} / \mathrm{s}\)
4 \(650 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141678 An aeroplane is flying with a uniform speed of \(150 \mathrm{~km} \mathrm{~h}^{-1}\) along the circumference of a circle. The change in its velocity in half the revolution (in \(\mathrm{km} \mathrm{h}^{-1}\) ) is

1 150
2 100
3 200
4 300
5 50
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Motion in One Dimensions

141675 A student is standing at a distance of 50 metres from the bus. As soon as the bus begins its motion with an acceleration of \(1 \mathrm{~m} / \mathrm{s}^{2}\), the student starts running towards the bus with a uniform velocity \(u\). Assuming the motion to be along a straight road, the minimum value of \(u\). So that the student is able to catch the bus is :

1 \(8 \mathrm{~ms}^{-1}\)
2 \(5 \mathrm{~ms}^{-1}\)
3 \(12 \mathrm{~ms}^{-1}\)
4 \(10 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141676 From a balloon rising vertically upwards at 5 \(\mathrm{m} / \mathrm{s}\) a stone is thrown up at \(10 \mathrm{~m} / \mathrm{s}\) relative to the balloon. Its velocity with respect to ground after \(2 \mathrm{~s}\) is (assume \(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 0
2 \(20 \mathrm{~m} / \mathrm{s}\)
3 \(10 \mathrm{~m} / \mathrm{s}\)
4 \(5 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141677 The velocity of sound in a gas is \(1300 \mathrm{~m} / \mathrm{s}\) at STP and specific heat at constant pressure is \(6.84 \mathrm{cal} \mathrm{K}^{-1} \mathrm{~mol}^{-1}\). The rms velocity at STP is \(\left(\mathrm{R}=1.98 \mathrm{cal} \mathrm{K}^{-1} \mathrm{~mol}^{-1}\right.\) )

1 \(1300 \mathrm{~m} / \mathrm{s}\)
2 \(2600 \mathrm{~m} / \mathrm{s}\)
3 \(1898 \mathrm{~m} / \mathrm{s}\)
4 \(650 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141678 An aeroplane is flying with a uniform speed of \(150 \mathrm{~km} \mathrm{~h}^{-1}\) along the circumference of a circle. The change in its velocity in half the revolution (in \(\mathrm{km} \mathrm{h}^{-1}\) ) is

1 150
2 100
3 200
4 300
5 50
Motion in One Dimensions

141675 A student is standing at a distance of 50 metres from the bus. As soon as the bus begins its motion with an acceleration of \(1 \mathrm{~m} / \mathrm{s}^{2}\), the student starts running towards the bus with a uniform velocity \(u\). Assuming the motion to be along a straight road, the minimum value of \(u\). So that the student is able to catch the bus is :

1 \(8 \mathrm{~ms}^{-1}\)
2 \(5 \mathrm{~ms}^{-1}\)
3 \(12 \mathrm{~ms}^{-1}\)
4 \(10 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141676 From a balloon rising vertically upwards at 5 \(\mathrm{m} / \mathrm{s}\) a stone is thrown up at \(10 \mathrm{~m} / \mathrm{s}\) relative to the balloon. Its velocity with respect to ground after \(2 \mathrm{~s}\) is (assume \(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 0
2 \(20 \mathrm{~m} / \mathrm{s}\)
3 \(10 \mathrm{~m} / \mathrm{s}\)
4 \(5 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141677 The velocity of sound in a gas is \(1300 \mathrm{~m} / \mathrm{s}\) at STP and specific heat at constant pressure is \(6.84 \mathrm{cal} \mathrm{K}^{-1} \mathrm{~mol}^{-1}\). The rms velocity at STP is \(\left(\mathrm{R}=1.98 \mathrm{cal} \mathrm{K}^{-1} \mathrm{~mol}^{-1}\right.\) )

1 \(1300 \mathrm{~m} / \mathrm{s}\)
2 \(2600 \mathrm{~m} / \mathrm{s}\)
3 \(1898 \mathrm{~m} / \mathrm{s}\)
4 \(650 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141678 An aeroplane is flying with a uniform speed of \(150 \mathrm{~km} \mathrm{~h}^{-1}\) along the circumference of a circle. The change in its velocity in half the revolution (in \(\mathrm{km} \mathrm{h}^{-1}\) ) is

1 150
2 100
3 200
4 300
5 50