A particle starts from rest at and moves along the -axis with acceleration (SI units, in metres). The maximum speed it reaches is

Answer and explanation

Correct answer: D.

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  1. Step 1: Express acceleration in terms of position and velocity using :
  2. Step 2: Integrate both sides from rest ( at ) up to position :
  3. Step 3: Maximum speed occurs when acceleration is zero: . Substituting :
Answer
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