$A$ body moves on three quarters of a circle of radius $r$. The displacement and distance The displacement and distance travelled by it are:

  • A
    displacement $= r$, distance $= 3r$
  • B
    distance $= 2r$, displacement $= \frac{3\pi r}{2}$
  • C
    displacement $= \sqrt{2}r$, distance $= \frac{3\pi r}{2}$
  • D
    displacement $= 0$, distance $= \frac{3\pi r}{2}$

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$A$ train is travelling at a speed of $90\, km\, h^{-1}$. Brakes are applied so as to produce a uniform acceleration of $-0.5\, m\, s^{-2}$. Find how far the train will go before it is brought to rest. (in $, m$)

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What is the slope of the displacement $-$ time graph when the body has uniform motion?

The displacement of a moving object in a given interval of time is zero. Would the distance travelled by the object also be zero? Justify your answer.

How can you find the following?
$(i)$ Velocity from a displacement-time graph.
$(ii)$ Acceleration from a velocity-time graph.
$(iii)$ Displacement from a velocity-time graph.
$(iv)$ Velocity from an acceleration-time graph.

What does the slope of a displacement$-$time graph represent? Can a displacement$-$time graph be parallel to the displacement axis? Give a reason for your answer.

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