The acceleration of a particle moving in a straight line varies with its displacement as,` a= 2s +1` veocity o particle is zero at zero displacement. Find the corresponding velocity - displacement equation.

Explanation

To solve the problem step by step, we need to derive the velocity-displacement equation from the given acceleration-displacement relationship. Here’s the detailed solution:

### Step 1: Understand the relationship between acceleration, velocity, and displacement
We know that acceleration \( a \) can be expressed as:
\[ a = \frac{dv}{dt} \]
We also know that velocity \( v \) can be expressed as:
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