why we use an equation of motion
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The relations between these quantities are known as the equations of motion. ... Hence, these equations are used to derive the components like displacement(s), velocity (initial and final), time(t) and acceleration(a). Therefore they can only be applied when acceleration is constant and motion is a straight line.
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In physics, equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time. More specifically,
the equations of motion describe the behavior of a physical system as a set of mathematical functions in terms of dynamic variables.
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