How to derive all equation of motion by calculus method
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Calculus is an advanced math topic, but it makes deriving two of the three equations of motion much simpler. By definition, acceleration is the first derivative of velocity with respect to time. ... Instead of differentiating velocity to find acceleration, integrate acceleration to find velocity.
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.
...
Equations of Motion For Uniform Acceleration
v = u + at.
v² = u² + 2as.
s = ut + ½at²
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