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Kinematic Equations for Linear Motion (For constant acceleration ONLY) ** To select the appropriate equation to solve a particular problem: 1) List what quantities are given - (will be 3) 2) List what is being asked for - (will be 1). 3) Find the equation in the table that contains all 4 involved quantities. Involved Quantities Unneeded Quantity vi , v f , a, t ∆x 2) v f = vi + 2a∆x ∆x, v f , vi , a t 1 3) ∆x = vi t + at 2 2 ∆x, vi , a, t vf 1 4) ∆x = (v f + vi )t 2 ∆x, v f , vi , t a 1 5) ∆x = v f t − at 2 2 ∆x, v f , a, t vi Equation 1) v f = vi + at 2 2 ** ∆x = ( x f − xi ) ** These equations work for motion in ANY one direction ** If ∆x also represents the total distance in only 1 direction, you can replace ∆x with d (for distance) and then think of vf and vi in terms of speed rather than velocity