The velocity $(v)$ versus time $(t)$ plot of a particle is shown in the figure, for a time interval of $40 \text{ s}$. The total distance travelled by the particle and the average velocity during this period are, respectively . . . . . . .

  • A
    $25 \text{ m}$ and zero
  • B
    $50 \text{ m}$ and zero
  • C
    $100 \text{ m}$ and zero
  • D
    $100 \text{ m}$ and $2.5 \text{ m/s}$

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The position of an object moving along the $x$-axis is given by $x = a + b t^{2}$,where $a = 8.5 \; m$,$b = 2.5 \; m s^{-2}$,and $t$ is measured in seconds. What is the velocity at $t = 0 \; s$ and $t = 2.0 \; s$?

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