The figure given below shows the displacement and time, \((x\text -t)\) graph of a particle moving along a straight line:
           
The correct statement, about the motion of the particle, is:

1. the particle moves at a constant velocity up to a time \(t_0\) and then stops.
2. the particle is accelerated throughout its motion.
3. the particle is accelerated continuously for time \(t_0\) then moves with constant velocity.
4. the particle is at rest.

Subtopic:  Graphs |
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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 |
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Which one of the following displacement-time graph represents two moving objects \(P\) and \(Q\) with zero relative velocity?

1. 2.
3. 4.
Subtopic:  Graphs |
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The position (\(x\)) of a particle in a straight line motion is given by \(x = 2 + 10 t - 5 t^{2}~\text{m}\). Its velocity (\(v\)) is best represented by?

1. 2.
3. 4.
Subtopic:  Graphs |
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The position-time \((x\text-t)\) graph for positive acceleration is:
1. 2.
3. 4.
Subtopic:  Graphs |
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A ball is thrown vertically upward with a certain velocity from the surface of the earth and after some time it returns back to the earth. The velocity-time (\(v\text-t\)) graph for the entire journey is given by:
1. 2.
3. 4.
Subtopic:  Graphs |
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Which of the following position-time \((x\text-t)\) graphs may be possible corresponding to given velocity-time \((v\text-t)\) graph?

      

1.   2.   
3.    4.  
Subtopic:  Graphs |
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Which of the following statements is true about the motion depicted in the diagram? 
              
1. The acceleration is constant and non-zero.
2. The velocity changes suddenly during the motion.
3. The velocity is positive throughout.
4. All of the above are true.
Subtopic:  Graphs |
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