How To Calculate Acceleration?

Identify the given values: initial velocity (v_i), final velocity (v_f), time interval (t)

Use the constant-acceleration formula: (a=dfrac{v_f-v_i}{t})

If displacement (x) and time (t) are given (constant acceleration): (a=dfrac{2(x-v_it)}{t^2})

If initial velocity, final velocity, and displacement are given (constant acceleration): (a=dfrac{v_f^2-v_i^2}{2Delta x})

If acceleration is from a velocity–time graph: use the slope (a=dfrac{Delta v}{Delta t})

If acceleration is from a position–time graph: use the curvature/second derivative (a=dfrac{d^2x}{dt^2})

If acceleration is from a velocity function (v(t)): compute (a(t)=dfrac{dv}{dt})

Ensure units are consistent: acceleration in (text{m}/text{s}^2) (or equivalent)

Use the sign of (a) based on the chosen direction (positive/negative)

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