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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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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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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The coordinate of an object is given as a function of time by x=7t-3t2, where x is in metres and t is in seconds. Its average velocity over the interval t=0 to t=4 is will be:

1.  5 m/s

2.  -5 m/s

3.  11 m/s

4.  -11 m/s

Subtopic:  Average Speed & Average Velocity |
 72%
From NCERT
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A particle moving in a straight line covers half the distance with speed of 3 m/s. The other half of the distance is covered in two equal time intervals with speed of 4.5 m/s and 7.5 m/s respectively. The average speed of the particle during this motion is:  

1. 4.0 m/s

2. 5.0 m/s

3. 5.5 m/s

4. 4.8 m/s

Subtopic:  Average Speed & Average Velocity |
 70%
From NCERT
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The displacement \((x)\) of a point moving in a straight line is given by; \(x=8t^2-4t.\) Then the velocity of the particle is zero at:

1. \(0.4\) s 2. \(0.25\) s
3. \(0.5\) s 4. \(0.3\) s
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 87%
From NCERT
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If the velocity of a particle is \(\mathrm{v}=\mathrm{At}+\mathrm{Bt^{2}},\) where \(\mathrm{A}\) and \(\mathrm{B}\) are constants, then the distance travelled by it between \(1\) s and \(2\) s is:
1. \(3\mathrm{A}+7\mathrm{B}\)
2. \(\frac{3}{2}\mathrm{A}+\frac{7}{3}\mathrm{B}\)
3. \(\frac{\mathrm{A}}{2}+\frac{\mathrm{B}}{3}\)
4. \(\frac{\mathrm{3A}}{2}+\mathrm{4B}\)

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 88%
From NCERT
NEET - 2016
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