The position of particle moving along the x-axis veries with time t as `x=6t-t^(2)+4`. Find the time-interval during which the particle is moving along the positive x-direction.

Explanation

To find the time interval during which the particle is moving along the positive x-direction, we need to analyze the position function of the particle given by:

\[ x(t) = 6t - t^2 + 4 \]

### Step 1: Find the velocity of the particle
The velocity \( v(t) \) of the particle is the derivative of the position function with respect to time \( t \).

\[
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