To find the average velocity of an object from a position-time graph, you need to determine the change in position and the corresponding change in time over a given interval. Here's the step-by-step process:
Identify two points on the position-time graph. These points should represent the initial and final positions of the object.
Determine the position coordinates (x1 and x2) and the corresponding time coordinates (t1 and t2) for the two points you selected.
Calculate the change in position (Δx) by subtracting the initial position from the final position:
Δx = x2 - x1
Calculate the change in time (Δt) by subtracting the initial time from the final time:
Δt = t2 - t1
Finally, compute the average velocity (v_avg) by dividing the change in position by the change in time:
v_avg = Δx / Δt
The average velocity obtained from this calculation represents the object's displacement per unit time over the given interval. Note that this is an average value, so it provides information about the overall trend but may not reflect instantaneous changes in velocity.