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

What is the difference between uniform motion in a straight line and uniform circular motion?

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The speed-time graphs of two cars are represented by $P$ and $Q$ as shown below.
$(a)$ Find the difference in the distance travelled by the two cars (in $m$) after $4\, s$.
$(b)$ Do they ever move with the same speed? If so,when?
$(c)$ What type of motion are car $P$ and car $Q$ undergoing?

Draw the distance$-$time graph for the following situations:
$(a)$ When a body is stationary.
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$(c)$ When a body is moving with non$-$uniform speed.

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