Velocity fro​​​​m po​​sition ​The graph of $s=f\left(t\right)$ represents the position of an object moving along a line at time $t\ge 0$ . <IMAGE>
c. Sketch a graph of the velocity function.

Verified step by step guidance

1. Identify the position function s = f(t) from the graph provided, noting key features such as intercepts, maxima, minima, and points of inflection.
2. Determine the velocity function v(t) by calculating the derivative of the position function, v(t) = f'(t). This represents the rate of change of position with respect to time.
3. Analyze the critical points of the velocity function by finding where v(t) = 0, which indicates potential changes in direction or speed.
4. Sketch the velocity graph by plotting the values of v(t) at various points, considering the sign of the velocity (positive or negative) to indicate the direction of motion.
5. Label the graph with important features such as where the velocity is zero, positive, or negative, and any intervals of increasing or decreasing velocity.