Pro Nunc Tunc Motion With Position Time Graphs
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FAQ
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.
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 position function also indicates direction A common application of derivatives is the relationship between speed, velocity and acceleration. In these problems, you're usually given a position equation in the form ? x=? or ? s ( t ) = s(t)= s(t)=?, which tells you the object's distance from some reference point.
If an object exhibits non-uniform motion, a position-time graph of the motion will be curved, not straight. If you graph the velocity of the object vs. time, then this graph will tell you how quickly the velocity is changing, a quantity called acceleration.
Slope of a Position-time Graph (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) .