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 |
 74%
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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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The variation of quantity \(A\) with quantity \(B\) is plotted in the given figure which describes the motion of a particle in a straight line.
           
Consider the following statements:

a. Quantity \(B\) may represent time.
b. Quantity \(A\) is velocity if motion is uniform.
c. Quantity \(A\) is displacement if motion is uniform.
d. Quantity \(A\) is velocity if motion is uniformly accelerated.

Select the correct option:

1. (a, b, c) 2. (b, c, d)
3. (a, c, d) 4. (a, c)
Subtopic:  Graphs |
 59%
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The graph below shows position as a function of time for two trains running on parallel tracks.

    
Which of the following statements is true?

1. At time \(t_B \) both the trains have the same velocity  
2. Both the trains have the same velocity at some time after \(t_B \)
3. Both the trains have the same velocity at some time before \(t_B \)
4. Both the trains have the same acceleration
Subtopic:  Graphs |
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Figure shows x-t graph for a particle undergoing one-dimensional motion. What is the velocity of the particle at t=20 s?

 

1. 5 m/s

2. 10 m/s

3. Zero

4. 2 m/s

Subtopic:  Graphs |
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The figure shows the velocity-time graph for a particle. Acceleration in the time interval t=0 to t=8s will be:

  

1. Constant

2. Variable and decreasing with time

3. Variable and increasing with time

4. Can't say

Subtopic:  Graphs |
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The figure shows the velocity-time graph for a particle. What is the acceleration of the particle?

    

1. v-voto

2. v-2voto

3. 2v-voto

4. v-vo2to

Subtopic:  Graphs |
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Two figures shown below exhibit position-time graphs for particles undergoing one-dimensional motion. In which of the following graph(s), the acceleration of the particle is zero?

  

1. Only graph (a)

2. Only graph (b)

3. Both graphs (a) & (b)

4. Neither graph (a) nor (b)

Subtopic:  Graphs |
 68%
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