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Instantaneous velocity

Free notes · JEE Main Physics

Formulas

v=lim⁡Δt→0ΔxΔt=dxdtv = \lim_{\Delta t \to 0} \frac{\Delta x}{\Delta t} = \frac{dx}{dt}

Instantaneous velocity as a derivative

Worked example

The slope of a velocity–time graph gives:

  1. Slope = Δv/Δt = acceleration.

Answer: Acceleration