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Graphical integration: area and slope chains

Free notes · JEE Main Physics

Formulas

Δx=∫v dt,Δv=∫a dt\Delta x = \int v\, dt,\quad \Delta v = \int a\, dt

Graph areas as integrals

Worked example

The slope of a velocity–time graph gives:

  1. Slope = Δv/Δt = acceleration.

Answer: Acceleration