Match the items in Column-$I$ with the items in Column-$II$ correctly.
Column-$I$ Column-$II$
$(1)$ Acceleration is positive $(a)$ Speed of the particle decreases
$(2)$ Acceleration is negative $(b)$ Speed of the particle increases
$(c)$ Speed of the particle keeps changing

  • A
    $1-b, 2-a$
  • B
    $1-a, 2-b$
  • C
    $1-c, 2-a$
  • D
    $1-b, 2-c$

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$A$ particle starts from rest. Its acceleration $(a)$ versus time $(t)$ graph is as shown in the figure. The maximum speed of the particle will be (in $m \ s^{-1}$)

$A$ particle has a velocity in the negative direction and a constant acceleration in the positive direction. Match the following columns:
Column $I$ Column $II$
$(A)$ Velocity-time graph $(p)$ Slope $\rightarrow$ negative
$(B)$ Acceleration-time graph $(q)$ Slope $\rightarrow$ positive
$(C)$ Displacement-time graph $(r)$ Slope $\rightarrow$ zero
$(s)$ $|\text{Slope}| \rightarrow$ increasing
$(t)$ $|\text{Slope}| \rightarrow$ decreasing
$(u)$ $|\text{Slope}| \rightarrow$ constant

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When are the average and instantaneous accelerations equal?

The acceleration of a train between two stations is shown in the figure. The maximum speed of the train is $............\,m/s$.

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