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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Assertion (A): Displacement of a body may be zero when distance travelled by it is not zero.
Reason (R): The displacement is the longest distance between initial and final position.
 
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 |
 85%
From NCERT
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A car moves with a speed of \(60\) km/h for \(1\) hour in the east direction and with the same speed for \(30\) min in the south direction. The displacement of the car from the initial position is:
1. \(60\) km
2. \(30 \sqrt{2}\)  km
3. \(30 \sqrt{5}\) km
4. \(60 \sqrt{2}\) km

Subtopic:  Distance & Displacement |
 69%
From NCERT
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A particle moves along a path \(ABCD\) as shown in the figure. The magnitude of the displacement of the particle from \(A\) to \(D\) is:

       

1. (5+102)m
2. \(10\) m
3. 152 m
4. \(15\) m

Subtopic:  Distance & Displacement |
 69%
From NCERT
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A drunkard walking in a narrow lane takes \(5\) steps forward and \(3\) steps backward, followed again by \(5\) steps forward and \(3\) steps backward, and so on. Each step is \(1\) m long and requires \(1\) s. There is a pit on the road \(13\) m away from the starting point. The drunkard will fall into the pit after:
1. \(37\) s
2. \(31\) s
3. \(29\) s
4. \(33\) s

Subtopic:  Distance & Displacement |
 61%
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The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation t = x + 3, where x is in metres and t is in seconds. What is the displacement of the particle from t = 0 s to t = 6 s?

1.  0

2.  12 m

3.  6 m

4.  18 m

Subtopic:  Distance & Displacement |
 58%
From NCERT
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If a body travels some distance in a given time interval, then for that time interval, its:

1. Average speed  ≥  |Average velocity|
2. |Average velocity|  ≥  Average speed
3. Average speed < |Average velocity|
4. |Average velocity| must be equal to average speed. 

Subtopic:  Average Speed & Average Velocity |
 84%
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A car moves from \(\mathrm{X}\) to \(\mathrm{Y}\) with a uniform speed \(\mathrm{v_u}\) and returns to \(\mathrm{X}\) with a uniform speed \(\mathrm{v_d}.\) The average speed for this round trip is:

1. 2vdvuvd+vu

2. vuvd

3. vdvuvd+vu

4. vu+vd2

Subtopic:  Average Speed & Average Velocity |
 82%
From NCERT
AIPMT - 2007
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The figure gives the \((\mathrm{x-t})\) plot of a particle in a one-dimensional motion. Three different equal intervals of time are shown. The signs of average velocity for each of the intervals \(1,\) \(2\) & \(3,\) respectively are:

  

1. \(-,-,+\)
2. \(+,-,+\)
3. \(-,+,+\)
4. \(+,+,-\)




Subtopic:  Average Speed & Average Velocity |
 88%
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A vehicle travels half the distance \(\mathrm{L} \) with speed \(\mathrm{v_1}\) and the other half with speed \(\mathrm{v_2},\) then its average speed is:
1. v1+v22

2. 2v1+v2v1+v2

3. 2v1v2v1+v2

4. L(v1+v2)v1v2

Subtopic:  Average Speed & Average Velocity |
 76%
From NCERT
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