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        The two equations that you derive by integration are all that you really need for constant acceleration:
 
 v = v_0 + at
 
 x = x_0 + v_0 t + \frac{1}{2}at^2
 
 provided that you're willing to solve them together with two unknowns for certain problems. The other one-dimensional kinematic equations are derived by solving these two, using different pairs of unknown quantities.
 
 MPolo
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