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In velocity-time graph, what does the slope of graph represent?

A velocity vs. time graph shows time along a horizontal axis, and velocity at the corresponding time along a vertical axis. In another words, it shows a graph of velocity as a function of time.


As many physical quantities, velocity is almost always continuous and even differentiable. This means that a corresponding graph has a finite slope almost everywhere. This slope is the same as the slope of a tangent line at the same point.


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A velocity vs. time graph shows time along a horizontal axis, and velocity at the corresponding time along a vertical axis. In another words, it shows a graph of velocity as a function of time.


As many physical quantities, velocity is almost always continuous and even differentiable. This means that a corresponding graph has a finite slope almost everywhere. This slope is the same as the slope of a tangent line at the same point.


As for any graph of a differentiable function, the slope at a point is the value of the function's derivative. For speed, the derivative is acceleration. It gives us much data, for example positive acceleration means increasing speed, negative means decreasing speed. Also by Newton's Second law, F=ma, acceleration helps to find a force acting at different moments of time.

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