Motion of a particle is defined by `x = (3 - 4t + 5t^(2))` m. Graphically represent the variation of velocity `((dx)/(dt))` with time.

Explanation

To solve the problem of finding the variation of velocity with time for the motion of a particle defined by the equation \( x = 3 - 4t + 5t^2 \), we will follow these steps:

### Step 1: Differentiate the position function to find velocity
The position of the particle is given by:
\[ x(t) = 3 - 4t + 5t^2 \]
To find the velocity \( v(t) \), we differentiate \( x(t) \) with respect to time \( t \):
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