The motion of a particle along a straight line is described by the function `s = 6 + 4t^2 - t^4` in SI units. Find the velocity, acceleration, at t = 2s, and the average velocity during `3^(rd)` second.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Find the velocity function
The displacement of the particle is given by the function:
\[ s(t) = 6 + 4t^2 - t^4 \]

To find the velocity \( v(t) \), we differentiate the displacement function with respect to time \( t \):
\[ v(t) = \frac{ds}{dt} = \frac{d}{dt}(6 + 4t^2 - t^4) \]
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