Which of the following statements is not correct for an object moving along a straight path in an accelerated motion?

  • A
    It always goes away from the earth
  • B
    Its velocity always changes
  • C
    Its speed keeps changing
  • D
    $A$ force is always acting on it

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$(i)$ What will be the velocity attained by it in $10 \, s$?
$(ii)$ How far will it travel in this duration?

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The driver of a train $A$ travelling at a speed of $54\, km\, h^{-1}$ applies brakes and retards the train uniformly. The train stops in $5\, s$. Another train $B$ is travelling on the parallel track with a speed of $36\, km\, h^{-1}$. This driver also applies the brakes and the train retards uniformly. The train $B$ stops in $10\, s$. Plot the speed-time graph for both the trains on the same paper. Also,calculate the distance travelled by each train after the brakes were applied.

The velocity-time graph of cars $A$ and $B$ which start from the same place and move along a straight road in the same direction is shown below.
Calculate:
$(a)$ The acceleration of car $B$ between $2 \, s$ and $4 \, s$.
$(b)$ The time at which both the cars have the same velocity.
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$(d)$ Which of the two cars is ahead after $8 \, s$ and by how much?

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