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What does the slope represent on a position graph? The slope of a position graph represents the velocity of the object. So the value of the slope at a particular time represents the velocity of the object at that instant.
When an object is in uniform motion it travels an equal distance in equal intervals of time. Therefore, in uniform rectilinear motion the Position-time graph for an object is a straight line inclined to the time axis. Here, the velocity of the object can be calculated using Position vs time graph slope.
The slope of a position graph represents the velocity of the object. So the value of the slope at a particular time represents the velocity of the object at that instant.
Describing Motion with Position vs Time Graphs We see that our vertical axis is Position (in meters) and that our horizontal axis is Time (in seconds). This means we know how far away an object has moved from our observer at any given time. This particular graph shows an object moving steadily away from our observer.
(Slope of a position time graph)=v=t2?t1s2?s1. Find the velocity of the particle over the interval (1,2). We have seen that the slope of the position-time graph gives us the velocity over the time period. Thus, v = s 2 ? s 1 t 2 ? t 1 = 10 ? 7.5 2 ? 1 = 2.5 (m/s) .