Acceleration Under Constant Power — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Acceleration Under Constant Power This formula applies when the power supplied to an object is held constant, causing the acceleration to be inversely proportional to the object's velocity. Start with the definition of power: P = Fv. Apply Newton's Second Law: F = ma. Substitute force into the power equation: P = (ma)v. Rearrange the equation to solve for acceleration: a = P / (mv). m > 0 v > 0 Confusing power (P) with force (F) or work (W). Assuming acceleration is constant; it decreases as velocity increases when power is fixed. Forgetting that the relationship is inversely proportional to both mass and velocity.