Relative Motion in One Dimension
PHXI03:MOTION IN A STRAIGHT LINE

362437 A rocket travelling at a speed of \(200\,m{\rm{/}}s\) ejects its products of combustion at the speed of \(1200\,m{\rm{/}}s\) relative to the rocket, then the speed of escaping vapours with respect to the person on the ground is:

1 \(1000\;\,m{\rm{/}}{s^{ - 1}}\)
2 \(1200\;\,m{\rm{/}}{s^{ - 1}}\)
3 \(1400\;\,m{\rm{/}}{s^{ - 1}}\)
4 \(200\;\,m{\rm{/}}{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362438 Two trains each of length 50 \(m\) are running with constant speeds on parallel tracks. While moving in same direction one overtakes the other in 40 seconds and while moving in opposite direction one crosses the other in 20 seconds. The speeds of the trains will be

1 \(2.25m/s\,{\rm{and}}\,2.75\,m/s\)
2 \(2.15m/s\,{\rm{and}}\,2.85\,m/s\)
3 \(3.75m/s\,{\rm{and}}\,1.25\,m/s\)
4 \(4.25m/s\,{\rm{and}}\,0.75\,m/s\)
PHXI03:MOTION IN A STRAIGHT LINE

362439 A ball \(A\) is thrown up vertically with a speed \(u\) and at the same instant another ball \(B\) is released from a height \(h\). At time \(t\), the speed of \(A\) relative to \(B\) is

1 \(2u\)
2 \(u\)
3 \(u - gt\)
4 \(\sqrt {({u^2} - gt)} \)
PHXI03:MOTION IN A STRAIGHT LINE

362440 A passenger sitting in a train \(A\) moving at \(90\;km{\rm{/}}h\) observes another train \(B\) moving in the opposite direction for \(8 s\). If the velocity of the train \(B\) is \(54\;km{\rm{/}}h\), then length of train \(B\) is

1 \({120\,m}\)
2 \({80\,m}\)
3 \({320\,m}\)
4 \({200\,m}\)
PHXI03:MOTION IN A STRAIGHT LINE

362437 A rocket travelling at a speed of \(200\,m{\rm{/}}s\) ejects its products of combustion at the speed of \(1200\,m{\rm{/}}s\) relative to the rocket, then the speed of escaping vapours with respect to the person on the ground is:

1 \(1000\;\,m{\rm{/}}{s^{ - 1}}\)
2 \(1200\;\,m{\rm{/}}{s^{ - 1}}\)
3 \(1400\;\,m{\rm{/}}{s^{ - 1}}\)
4 \(200\;\,m{\rm{/}}{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362438 Two trains each of length 50 \(m\) are running with constant speeds on parallel tracks. While moving in same direction one overtakes the other in 40 seconds and while moving in opposite direction one crosses the other in 20 seconds. The speeds of the trains will be

1 \(2.25m/s\,{\rm{and}}\,2.75\,m/s\)
2 \(2.15m/s\,{\rm{and}}\,2.85\,m/s\)
3 \(3.75m/s\,{\rm{and}}\,1.25\,m/s\)
4 \(4.25m/s\,{\rm{and}}\,0.75\,m/s\)
PHXI03:MOTION IN A STRAIGHT LINE

362439 A ball \(A\) is thrown up vertically with a speed \(u\) and at the same instant another ball \(B\) is released from a height \(h\). At time \(t\), the speed of \(A\) relative to \(B\) is

1 \(2u\)
2 \(u\)
3 \(u - gt\)
4 \(\sqrt {({u^2} - gt)} \)
PHXI03:MOTION IN A STRAIGHT LINE

362440 A passenger sitting in a train \(A\) moving at \(90\;km{\rm{/}}h\) observes another train \(B\) moving in the opposite direction for \(8 s\). If the velocity of the train \(B\) is \(54\;km{\rm{/}}h\), then length of train \(B\) is

1 \({120\,m}\)
2 \({80\,m}\)
3 \({320\,m}\)
4 \({200\,m}\)
PHXI03:MOTION IN A STRAIGHT LINE

362437 A rocket travelling at a speed of \(200\,m{\rm{/}}s\) ejects its products of combustion at the speed of \(1200\,m{\rm{/}}s\) relative to the rocket, then the speed of escaping vapours with respect to the person on the ground is:

1 \(1000\;\,m{\rm{/}}{s^{ - 1}}\)
2 \(1200\;\,m{\rm{/}}{s^{ - 1}}\)
3 \(1400\;\,m{\rm{/}}{s^{ - 1}}\)
4 \(200\;\,m{\rm{/}}{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362438 Two trains each of length 50 \(m\) are running with constant speeds on parallel tracks. While moving in same direction one overtakes the other in 40 seconds and while moving in opposite direction one crosses the other in 20 seconds. The speeds of the trains will be

1 \(2.25m/s\,{\rm{and}}\,2.75\,m/s\)
2 \(2.15m/s\,{\rm{and}}\,2.85\,m/s\)
3 \(3.75m/s\,{\rm{and}}\,1.25\,m/s\)
4 \(4.25m/s\,{\rm{and}}\,0.75\,m/s\)
PHXI03:MOTION IN A STRAIGHT LINE

362439 A ball \(A\) is thrown up vertically with a speed \(u\) and at the same instant another ball \(B\) is released from a height \(h\). At time \(t\), the speed of \(A\) relative to \(B\) is

1 \(2u\)
2 \(u\)
3 \(u - gt\)
4 \(\sqrt {({u^2} - gt)} \)
PHXI03:MOTION IN A STRAIGHT LINE

362440 A passenger sitting in a train \(A\) moving at \(90\;km{\rm{/}}h\) observes another train \(B\) moving in the opposite direction for \(8 s\). If the velocity of the train \(B\) is \(54\;km{\rm{/}}h\), then length of train \(B\) is

1 \({120\,m}\)
2 \({80\,m}\)
3 \({320\,m}\)
4 \({200\,m}\)
PHXI03:MOTION IN A STRAIGHT LINE

362437 A rocket travelling at a speed of \(200\,m{\rm{/}}s\) ejects its products of combustion at the speed of \(1200\,m{\rm{/}}s\) relative to the rocket, then the speed of escaping vapours with respect to the person on the ground is:

1 \(1000\;\,m{\rm{/}}{s^{ - 1}}\)
2 \(1200\;\,m{\rm{/}}{s^{ - 1}}\)
3 \(1400\;\,m{\rm{/}}{s^{ - 1}}\)
4 \(200\;\,m{\rm{/}}{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362438 Two trains each of length 50 \(m\) are running with constant speeds on parallel tracks. While moving in same direction one overtakes the other in 40 seconds and while moving in opposite direction one crosses the other in 20 seconds. The speeds of the trains will be

1 \(2.25m/s\,{\rm{and}}\,2.75\,m/s\)
2 \(2.15m/s\,{\rm{and}}\,2.85\,m/s\)
3 \(3.75m/s\,{\rm{and}}\,1.25\,m/s\)
4 \(4.25m/s\,{\rm{and}}\,0.75\,m/s\)
PHXI03:MOTION IN A STRAIGHT LINE

362439 A ball \(A\) is thrown up vertically with a speed \(u\) and at the same instant another ball \(B\) is released from a height \(h\). At time \(t\), the speed of \(A\) relative to \(B\) is

1 \(2u\)
2 \(u\)
3 \(u - gt\)
4 \(\sqrt {({u^2} - gt)} \)
PHXI03:MOTION IN A STRAIGHT LINE

362440 A passenger sitting in a train \(A\) moving at \(90\;km{\rm{/}}h\) observes another train \(B\) moving in the opposite direction for \(8 s\). If the velocity of the train \(B\) is \(54\;km{\rm{/}}h\), then length of train \(B\) is

1 \({120\,m}\)
2 \({80\,m}\)
3 \({320\,m}\)
4 \({200\,m}\)