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 |
 62%
From NCERT
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A jet airplane travelling at the speed of \(500~\text{km/h}\) ejects its products of combustion at the speed of \(1500~\text{km/h}\) relative to the jet plane. What is the speed of the latter with respect to an observer on the ground?
1. \(1000~\text{km/h}\)
2. \(500~\text{km/h}\)
3. \(1500~\text{km/h}\)
4. \(2000~\text{km/h}\)

Subtopic:  Relative Motion in One Dimension |
 55%
From NCERT
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A car moving along a straight highway with a speed of \(126\) km/h is brought to a stop within a distance of \(200\) m. How long does it take for the car to stop?

1. \(10.2\) s 2. \(9.6\) s
3. \(11.4\) s 4. \(6.7\) s
Subtopic:  Uniformly Accelerated Motion |
 72%
From NCERT
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The figure gives the \((x\text-t)\) 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 |
 89%
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The figure gives a speed-time graph of a particle in motion along the same direction. Three equal intervals of time are shown. In which interval is the average acceleration greatest in magnitude?

  

1. Interval 2

2. Interval 1

3. Interval 3

4. Equal in all intervals
Subtopic:  Acceleration |
From NCERT
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A boy standing on a stationary lift (open from above) throws a ball upwards with the maximum initial speed he can, equal to \(49~\text{ms}^{-1}.\) How much time does the ball take to return to his hands? 
1. \(5\) s
2. \(10\) s
3. \(15\) s
4. \(7\) s

Subtopic:  Uniformly Accelerated Motion |
 76%
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 |
 70%
From NCERT
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A body in one-dimensional motion has zero speed at an instant. At that instant, it must have:

1. zero velocity. 2. zero acceleration.
3. non-zero velocity. 4. non-zero acceleration.
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 72%
From NCERT
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If a particle is moving along a straight line with increasing speed, then:

1. its acceleration is negative.
2. its acceleration may be decreasing.
3. its acceleration is positive.
4. both (2) & (3)
Subtopic:  Acceleration |
 59%
From NCERT
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When the velocity of a body is variable, then:

1. its speed may be constant
2. its acceleration may be constant
3. its average acceleration may be constant
4. all of the above
Subtopic:  Acceleration |
 70%
From NCERT
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