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%
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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%
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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%
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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 |
 70%
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A body is projected vertically upwards with a speed \(v.\) The distance travelled by the body in the last second of upward journey is the same as that of:
 
1. distance travelled in last second of downward journey
2. distance travelled in first second of upward journey
3. distance travelled in first second of downward journey
4. both (1) and (2)
Subtopic:  Distance & Displacement |
 67%
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Given below are two statements: 
Assertion (A): Adding a scalar to a vector of the same dimension is a meaningful algebraic operation.
Reason (R): Displacement can be added to distance.
 
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 |
 68%
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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 |
 62%
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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%
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An object moves along a straight line. It travels \(30\) m in \(5\) s and \(60\) m in the next \(10\) seconds. The average speed of the object is:
1. \(6\) m/s
2. \(10\) m/s
3. \(12\) m/s
4. \(9\) m/s
Subtopic:  Average Speed & Average Velocity |
 90%
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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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