The relation connecting initial velocity (u), final velocity (v), and uniform acceleration (a) of an object is given by the equation: v = u+at, where v is the final velocity, u is the initial velocity, a is the uniform acceleration, and t is the time taken.
What is the relation between initial velocity (u), final velocity (v), and uniform acceleration (a) of an object?
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The relationship between initial velocity (u), final velocity (v), uniform acceleration (a), and displacement (s) of an object is described by the kinematic equation: v² =u² + 2as. This equation expresses the final velocity of the object (v) squared as the sum of the square of the initial velocity (u), twice the product of acceleration (a) and displacement (s). It provides a quantitative link between an object’s initial and final states under constant acceleration, offering a useful tool for analyzing motion and predicting outcomes in scenarios involving uniformly accelerated motion.