# p-t Graph Analysis

This online calculator analyses position vs time table, which is often used to describe 1-D kinematics motion.

In 1-dimensional kinematics, you can represent the motion of the object using position vs. time graphs. And you can describe the motion by analyzing the shape and slope of the lines on a position vs. time graph (or p-t graph). For example, the slope gives us speed value and speed direction (of course, we are talking about constant velocity motion). You can calculate it using the following equation:
$slope=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}$

Of course, when you get the idea, it is easy to analyze the p-t graph, but it can be quite tedious. The calculator below can help with that. It analyses the p-t graph given the time vs. position table, and you can use it to check your understanding. Each line segment on a p-t graph checks the position change, the speed, and how the speed changes compared to the previous line segment. It also calculates the final distance, a scalar quantity describing "how much object has traveled" during its motion, and final displacement, a vector quantity describing the object's overall change in position.

#### Position vs Time

Time (s)Position (m)
Items per page:

Distance

Displacement

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p-t Graph
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Digits after the decimal point: 2

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PLANETCALC, p-t Graph Analysis