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# p-t Graph Analysis

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

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In 1-dimensional kinematics you can represent the motion of the object using position vs. time graphs. And you can describe the motion by analysing the shape and slope of the lines on a position vs. time graph (or p-t graph). The slope, for example, 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 analyse p-t graph, but it can be quite tedious. The calculator below can help with that. It analyses p-t graph given the time vs position table, and you can use it to check your understanding. For each line segment on a p-t graph it checks the position change, the speed, and how the speed changes compared to the previous line segment. It also calculates the final distance, which is a scalar quantity describing "how much object has travelled" during its motion, and final displacement, which is a vector quantity describing the object's overall change in position.

#### Position vs Time

arrow_upwardarrow_downwardTime (s)arrow_upwardarrow_downwardPosition (m)
Items per page:

Distance

Displacement

p-t Graph
Digits after the decimal point: 2

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