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%
From NCERT
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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 |
 60%
From NCERT
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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 |
 83%
From NCERT
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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 |
From NCERT
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Four marbles are dropped from the top of a tower one after the other at a one-second interval. The first one reaches the ground after \(4\) seconds. When the first one reaches the ground the distances between the first and second, the second and third, and the third and fourth will be, respectively:

1. \(35\) m, \(25\) m, and \(15\) m 2. \(30\) m, \(20\) m, and \(10\) m
3. \(20\) m, \(10\) m, and \(5\) m 4. \(40\) m, \(30\) m, and \(20\) m
Subtopic:  Uniformly Accelerated Motion |
 73%
From NCERT
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A particle is projected upwards. The times corresponding to height \(h\) while ascending and while descending are t1 and t2 respectively. The velocity of projection will be:
1. \(gt_1\)
2. \(gt_2\)
3. \(g(t_1+t_2)\)
4. \(\frac{g(t_1+t_2)}{2}\)

Subtopic:  Uniformly Accelerated Motion |
 69%
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:  Relative Motion in One Dimension |
 74%
From NCERT
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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 |
 64%
From NCERT
PMT - 2004
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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 |
 87%
From NCERT
AIIMS - 2004
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Which graph represents a uniformly accelerated motion?

1. 2.
3. 4.
Subtopic:  Graphs |
 66%
From NCERT
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