A lift is going up. The variation in the speed of the lift is as given in the graph. What is the height to which the lift takes the passengers?

                

1. \(3.6~\text{m}\)
2. \(28.8~\text{m}\)
3. \(36.0~\text{m}\)
4.  It cannot be calculated from the above graph.

Subtopic:  Graphs |
 69%
Level 2: 60%+
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The velocity-time \((v\text-t)\) graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in \(6\) s are, respectively: 

              

1. \(8\) m, \(16\) m
2. \(16\) m, \(8\) m
3. \(16\) m, \(16\) m
4. \(8\) m, \(8\) m

Subtopic:  Graphs |
 80%
Level 1: 80%+
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In the following graph, the distance travelled by the body in metres is:

         

1. \(200\) 2. \(250\)
3. \(300\) 4. \(400\)
Subtopic:  Graphs |
 87%
Level 1: 80%+
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Which graph represents a uniformly accelerated motion?

1. 2.
3. 4.
Subtopic:  Graphs |
 69%
Level 2: 60%+
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Which of the following velocity-time graphs shows a realistic situation for a body in motion?

1. 2.
3. 4.
Subtopic:  Graphs |
 88%
Level 1: 80%+
AIIMS - 2004
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Acceleration-time graph of a body is shown.

 
The corresponding velocity-time graph of the same body is: 

1. 2.
3.   4.  
Subtopic:  Graphs |
 67%
Level 2: 60%+
PMT - 2004
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Given below are two statements: 

Assertion (A): Position-time graph of a stationary object is a straight line parallel to the time axis.
Reason (R): For a stationary object, the position does not change with time.
  
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Distance & Displacement |
 88%
Level 1: 80%+
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The acceleration of a particle starting from rest varies with time according to the relation \(A= - a\omega^2\sin \omega t\). The displacement of this particle at a time \(t\) will be:
1. \(-\frac{1}{2}\left(a\omega^2\sin\omega t\right)t^2\) 2. \(a\omega \sin \omega t\)
3. \(a\omega \cos \omega t\) 4. \(a\sin \omega t\)
Subtopic:  Non Uniform Acceleration |
 62%
Level 2: 60%+
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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:  Relative Motion in One Dimension |
 84%
Level 1: 80%+
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A stone is dropped from a height \(h\). Simultaneously, another stone is thrown up from the ground which reaches a height \(4h\). The two stones cross each other after time:
1. \(\sqrt{\frac{h}{8g}}\)
2. \(\sqrt{8g}~h\)
3. \(\sqrt{2g}~h\)
4. \(\sqrt{\frac{h}{2g}}\)

Subtopic:  Relative Motion in One Dimension |
 51%
Level 3: 35%-60%
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