The displacement x of a particle along the x-axis at time `t` is given by `x=a_1/2t+a_2/3t^2`. Find the acceleration of the particle.

Explanation

To find the acceleration of the particle given its displacement \( x \) as a function of time \( t \), we can follow these steps:

### Step 1: Write down the displacement equation
The displacement \( x \) of the particle is given by:
\[ x = a_1 \cdot \frac{1}{2} t + a_2 \cdot \frac{1}{3} t^2 \]

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