According to Newton's second law, a constant force (F) acting on a particle of constant mass (m) results in constant acceleration (a), where F = ma. For motion under constant acceleration, the displacement (s) of a particle from its initial position as a function of time (t) is given by the kinematic equation: s = ut + (1/2)at², where u is the initial velocity and a is the constant acceleration. This equation is a quadratic function of time (t).
The displacement-time graph of a particle acted upon by a constant force is
Asked in UPSC NDA 1 2015 · Topic: Mechanics (Newton's Laws of Motion and their applications)
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