The velocity-time graph (Fig.) shows the motion of a cyclist. Find $(i)$ its acceleration $(ii)$ its velocity and $(iii)$ the distance covered by the cyclist in $15\,s$.

  • A
    $0$,$20\,m/s$,$300\,m$
  • B
    $10$,$20\,m/s$,$30\,m$
  • C
    $0.5$,$20\,m/s$,$0.30\,m$
  • D
    $0$,$0.2\,m/s$,$300\,m$

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$(ii)$ Compare the distance travelled in section $BC$ with the distance travelled in section $AB$.
$(iii)$ In which section does the car have zero acceleration?
$(iv)$ Is the magnitude of acceleration higher or lower than that of retardation? Give a reason.

If the displacement $-$ time graph for a particle is parallel to the time axis, what is the velocity of the particle?

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$(a)$ When will you say a body is in $(i)$ uniform motion $(ii)$ non-uniform motion?
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$(b)$ Find the acceleration from $B$ to $C$.
$(c)$ Calculate the distance covered by the body from $A$ to $B$.

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