The speed of a particle moving in a circle of radius `r=2m` varies with time `t` as `v=t^(2)`, where `t` is in second and `v` in `m//s`. Find the radial, tangential and net acceleration at `t=2s`.

Explanation

To solve the problem step by step, we will find the radial, tangential, and net acceleration of a particle moving in a circle with a given radius and speed function.

### Given:
- Radius of the circle, \( r = 2 \, \text{m} \)
- Speed of the particle, \( v(t) = t^2 \, \text{m/s} \)
- Time, \( t = 2 \, \text{s} \)

### Step 1: Calculate the speed at \( t = 2 \, \text{s} \)
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