A falling stone from rest takes \(0.2~\text{s}\) to fall past a window on path which is \(1~\text{m}\) high. From how far above the top of window, was the stone dropped?
1. \(\frac45~\text{m}\)
2. \(\frac54~\text{m}\)
3. \(\frac95~\text{m}\)
4. \(\frac59~\text{m}\)

Subtopic:  Uniformly Accelerated Motion |
 57%
From NCERT
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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 |
 91%
From NCERT
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A particle starting from rest undergoes a rectilinear motion with an acceleration \(a\). The variation of acceleration with time \(t\) is shown in the diagram. The final velocity of the object during its motion is:
                  

1. \(6\) m/s
2. \(16\) m/s
3. \(24\) m/s
4. \(12\) m/s
Subtopic:  Acceleration |
 84%
From NCERT
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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 |
 68%
From NCERT
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A particle is moving along a straight line such that its position depends on time as \(x=1-at+bt^{2} \), where \(a=2~\text{m/s}\), \(b=1~\text{m/s}^2\). The distance covered by the particle during the first \(3\) seconds from start of the motion will be:

1. \(2~\text{m}\) 2. \(5~\text{m}\)
3. \(7~\text{m}\) 4. \(4~\text{m}\)
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
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The displacement-time \((s\text-t)\) graphs of two moving particles \(A~\text{and}~B\) make angles of \(30^\circ\) and \(45^\circ\) with the \(x\text-\)axis as shown in the figure. The ratio of their respective velocity \(\left(\dfrac{v_A}{v_B}\right) \) is:
                  
1. \(1: \sqrt{3}\)
2. \(\sqrt{3}: 1\)
3. \(1:1\)
4. \(1:2\)
Subtopic:  Graphs |
 71%
From NCERT
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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%
From NCERT
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Given below are two statements: 
Assertion (A): A particle having zero acceleration must have a constant speed.
Reason (R): A particle having constant speed must have zero acceleration.
 
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:  Acceleration |
 50%
From NCERT
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Select the correct option based on the statements given below:
Assertion (A): A body can have acceleration even if its velocity is zero at a given instant of time.
Reason (R): A body is momentarily at rest when it reverses its direction of motion.
 
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:  Uniformly Accelerated Motion |
 60%
From NCERT
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Given below are two statements: 
Assertion (A): If the average velocity of a particle is zero in a time interval, it is possible that the instantaneous velocity is never zero in the interval.
Reason (R): If the average velocity of a particle moving on a straight line is zero in a time interval then at least for one moment the instantaneous velocity will also be zero in the interval.
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:  Average Speed & Average Velocity |
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