Presentation on theme: "Motion with Uniform Acceleration"— Presentation transcript:
1 Motion with Uniform Acceleration Kinematic EquationsMotion with Uniform Acceleration
2 Kinematic EquationsRelationships between displacement, velocity, acceleration, and timeOnly work when acceleration is uniform (constant)!!
3 Kinematic EquationsAll equations derived from three relationships that you already know:
4 Equation #1 Final Velocity with Constant Acceleration Start with aavg = v/tRearrange and solve for vfvf = vi + a(t)Don’t need to know displacement
5 Equation #2 Displacement knowing Change in Velocity Start with the two equations for vavgSet them equal to each otherSolve for xx = ½ (vi + vf)tDon’t need to know acceleration
6 Equation #3 Displacement from Initial Velocity and Acceleration Start with first two kinematic equationsSubstitute expression for vf from #1 into equation #2Simplify and solve for xx = vi(t) + ½ a(t)2Don’t need to know final velocity
7 Equation #4 Final Velocity from Initial Velocity and Acceleration vf2 = vi2 + 2a(x)Don’t need to know time
8 Equationvfviaxtx = ½ (vi + vf)tvf = vi + a(t)x = vi(t) + ½ a(t)2vf2 = vi2 + 2a(x)
9 Solving Problems Using Kinematic Equations Determine what the question is asking forList all known quantitiesRemember, each equation contains four variables, so you need to know three variables in order to solve for the fourthPick the appropriate equationSolve for desired quantity
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