The acceleration a in `ms^-2` of a particle is given by `a=3t^2+2t+2`, where t is the time. If the particle starts out with a velocity `v=2ms^-1` at `t=0`, then find the velocity at the end of `2s`.

Explanation

To find the velocity of the particle at the end of 2 seconds given the acceleration function, we can follow these steps:

### Step 1: Write down the acceleration function
The acceleration \( a \) is given by:
\[ a = 3t^2 + 2t + 2 \]

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