A thief is running away on a straight road in a jeep moving with a speed of $$9$$ m/s. A policeman chases him on a motorcycle moving at a speed of $$10$$ m/s. If the instantaneous separation of the jeep from the motorcycle is $$100$$ m, how long will it take for the policeman to catch the thief?
1. $$1$$ s
2. $$19$$ s
3. $$90$$ s
4. $$100$$ s

Subtopic: Â Relative Motion in One Dimension |
Â 83%
From NCERT
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Two balls are projected upward simultaneously with speeds of $$40$$ m/s and $$60$$ m/s. The relative position $$(x)$$ of the second ball with respect to the first ball at time $$t=5$$ s will be: (neglect air resistance)
1. $$20$$ m
2. $$80$$ m
3. $$100$$ m
4. $$120$$ m

Subtopic: Â Relative Motion in One Dimension |
Â 79%
From NCERT
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Two trains, each $$50$$ m long, are travelling in the opposite direction with velocities $$10$$ m/s and $$15$$ m/s. The time of crossing is:
1. $$10$$ sec
2. $$4$$ sec
3. $$2\sqrt{3}$$ sec
4. $$4\sqrt{3}$$ sec

Subtopic: Â Relative Motion in One Dimension |
Â 78%
From NCERT
PMT - 1999
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The distance between two particles is decreasing at the rate of $$6$$ m/sec when they are moving in the opposite directions. If these particles travel with the same initial speeds and in the same direction, then the separation increases at the rate of $$4$$ m/sec. It can be concluded that particles' speeds could be:
1. $$5$$ m/sec, $$1$$ m/sec
2. $$4$$ m/sec, $$1$$ m/sec
3. $$4$$ m/sec, $$2$$ m/sec
4. $$5$$ m/sec, $$2$$ m/sec

Subtopic: Â Relative Motion in One Dimension |
Â 75%
From NCERT
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Two cars are moving in the same direction with the same speed $$30$$ km/hr. They are separated by a distance of $$5$$ km. The speed of a car moving in the opposite direction, if it meets these two cars at an interval of $$4$$ minutes, will be:
1. $$40$$ km/hr
2. $$45$$ km/hr
3. $$30$$ km/hr
4. $$15$$ km/hr

Subtopic: Â Relative Motion in One Dimension |
Â 73%
From NCERT
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A bus is moving with a speed of $$10~\text{ms}^{-1}$$ on a straight road. A scooterist wishes to overtake the bus in $$100~\text{s}$$$\mathrm{}$. If the bus is at a distance of $$1~\text{km}$$ from the scooterist, with what minimum speed should the scooterist chase the bus?
1. $$20~\text{ms}^{-1}$$
2. $$40~\text{ms}^{-1}$$
3. $$25~\text{ms}^{-1}$$
4. $$10~\text{ms}^{-1}$$

Subtopic: Â Relative Motion in One Dimension |
Â 74%
From NCERT
NEET - 2009
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Two trains each of length $$100$$ m are moving parallel towards each other at speeds $$72$$ km/h and $$36$$ km/h respectively. In how much time will they cross each other?
1. $$4.5~\text{s}$$
2. $$6.67~\text{s}$$
3. $$3.5~\text{s}$$
4. $$7.25~\text{s}$$

Subtopic: Â Relative Motion in One Dimension |
Â 74%
From NCERT
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An elevator whose floor to ceiling height is $$12$$ meters, moves upward with an acceleration of $$2.2~\text{m/s}^2$$. After $$1.5$$ seconds since starting, a bolt falls from its ceiling. The time taken by the bolt to reach the floor is:
1. $$1~\text{s}$$
2. $$2~\text{s}$$
3. $$\sqrt{2}~\text{s}$$
4. $$\sqrt{3}~\text{s}$$

Subtopic: Â Relative Motion in One Dimension |
Â 64%
From NCERT
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Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time $$t_1$$. On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time $$t_2$$. The time taken by her to walk upon the moving escalator will be:
1. $$\frac{t_1t_2}{t_2-t_1}$$
2. $$\frac{t_1t_2}{t_2+t_1}$$
3. $$t_1-t_2$$
4. $$\frac{t_1+t_2}{2}$$

Subtopic: Â Relative Motion in One Dimension |
Â 72%
From NCERT
NEET - 2017
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A car $$A$$ is traveling on a straight level road at a uniform speed of $$60$$ km/h. It is followed by another car $$B$$ which is moving at a speed of $$70$$ km/h. When the distance between them is $$2.5$$ km, car $$B$$ is given a deceleration of $$20$$ km/h2. After how much time will car $$B$$ catch up with car $$A$$?
1. $$1$$ hr
2. $$\frac{1}{2}$$ hr
3. $$\frac{1}{4}$$ hr
4. $$\frac{1}{8}$$ hr

Subtopic: Â Relative Motion in One Dimension |
Â 65%
From NCERT
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