How do you find a velocity-time graph from a position-time graph.

pls help.
i do not understand how to do it

To find a velocity-time graph from a position-time graph, you need to understand the relationship between velocity, position, and time. Let me guide you through the process:

1. Recall the definitions:
- Velocity (v) is the rate of change of position with respect to time.
- The slope of a position-time graph represents velocity at a specific point.

2. Examine the position-time graph:
- Look for straight line segments on the graph. These segments represent constant velocity motion.
- Identify the slope of each straight line segment. This will give you the velocity at that point.

3. Draw the velocity-time graph:
- The horizontal axis represents time, while the vertical axis represents velocity.
- Plot the velocity values corresponding to each straight line segment on the position-time graph at the corresponding time values on the velocity-time graph.
- Connect the plotted points on the graph with a smooth curve.

Remember:
- If the position-time graph is curved, you will need to find the gradient of the tangent line at different points to determine the velocity at those specific times.
- If the position-time graph includes points of zero slope (horizontal line segments), those points represent instances of zero velocity on the velocity-time graph.

By following these steps, you can convert a position-time graph into a velocity-time graph.