MCQ
Explain the term: Displacement.
  • D
    Then, the displacement $\vec{S}$ in the time

Answer

Displacement:
  1. Displacement of a particle for a time interval is the difference between the position vectors of the object in that time interval.
  2. Let $\overrightarrow{x_1}$ and $\overrightarrow{x_2}$ be the position vectors of a particle at time $t_1$ and $t_2$ respectively. Then the displacement $\overrightarrow{ S }$ in time interval $\Delta t=t_2-t_1$ is given by $\overrightarrow{S}=\Delta \overrightarrow{x}=\overrightarrow{x}_2-\overrightarrow{x}_1$ 
  3. Dimensions of displacement are equal to that of length i.e.. $[L^1M^0T^0].$
  4. Displacement is a vector quantity.
  5. Example:
    • For an object has travelled through $1m$ from time $t_1$ to $t_2$ along the positive $X-$direction, the magnitude of its displacement is $I \ m$ and its direction is along the positive $X-$axis.
    • On the other hand, for an object has travelled through $I \ m$ from time $t_1$ to $t_1$ along the positive $Y-$direction, the magnitude of its displacement remains same i.e., $I\ m$ but the direction of the displacement is along the positive $Y-$axis.

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