Statement $(I)$: An object subjected to velocities $\overrightarrow{v_1}$ and $\overrightarrow{v_2}$ has a resultant velocity with magnitude $|\vec{v}| = |\overrightarrow{v_1}| + |\overrightarrow{v_2}|$.
Statement $(II)$: The magnitude of displacement is either less than or equal to the path length of an object between two points.
Statement $(III)$: The instantaneous acceleration is the limiting value of the average acceleration as the time interval approaches zero.
Which of the following is correct?

• A
  Statements $I, II, III$ are true
• B
  Statements $I, II$ are true, but Statement $III$ is false
• C
  Statements $II, III$ are true, but Statement $I$ is false
• D
  Statements $I, II, III$ are false