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In the following displacement \((x)\) versus time \((t)\) graph, at which points \(P, Q\) and \(R\) will the object's speed be increasing?

          

1. \(R\) only
2. \(P\) only
3. \(Q\) and \(R\) only
4. \(P,Q,R\)

Subtopic:  Graphs |
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The accompanying graph of position \((x)\) versus time \((t)\) represents the motion of a particle. If \(p\) and \(q\) are both positive constants, the expression that best describes the acceleration of the particle is:
 

1. \(a=-p-qt\)

2. \(a=-p+qt\)

3. \(a=p+qt\)

4. \(a=p-qt\)

Subtopic:  Graphs |
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A bullet is shot vertically downwards with an initial velocity of \(100\) m/s from a certain height. Within \(10\) s, the bullet reaches the ground and instantaneously comes to rest due to a perfectly inelastic collision. The velocity-time curve for total time \(t=20 \) s is: (take \(g=10\) m/s2 )
1.   2.
3. 4.
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The velocity-time graph of a particle moving along a straight line is shown in the adjacent figure. The average velocity is:
                     
1. \(1~\text{ms}^{-1}\) 2. \(2~\text{ms}^{-1}\) m/s
3. less than \(1~\text{ms}^{-1}\) 4. greater than \(2~\text{ms}^{-1}\)
Subtopic:  Graphs |
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