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Kinematic Equations

Kinematic Equations. Motion with Uniform Acceleration. Kinematic Equations. Relationships between displacement, velocity, acceleration, and time Only work when acceleration is uniform (constant)!!. Kinematic Equations. Equation #1 Final Velocity with Constant Acceleration.

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Kinematic Equations

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  1. Kinematic Equations Motion with Uniform Acceleration

  2. Kinematic Equations • Relationships between displacement, velocity, acceleration, and time • Only work when acceleration is uniform (constant)!!

  3. Kinematic Equations

  4. Equation #1Final Velocity with Constant Acceleration • Start with aavg = v/t • Rearrange and solve for vf • vf = vi + a(t) • Don’t need to know displacement

  5. Equation #2Displacement knowing Change in Velocity • Start with the two equations for vavg • Set them equal to each other • Solve for x • x = ½ (vi + vf)t • Don’t need to know acceleration

  6. Equation #3Displacement from Initial Velocity and Acceleration • Start with first two kinematic equations • Substitute expression for vf from #1 into equation #2 • Simplify and solve for x • x = vi(t) + ½ a(t)2 • Don’t need to know final velocity

  7. Equation #4Final Velocity from Initial Velocity and Acceleration • vf2 = vi2 + 2a(x) • Don’t need to know time

  8. Solving Problems Using Kinematic Equations • Determine what the question is asking for • List all known quantities • Remember, each equation contains four variables, so you need to know three variables in order to solve for the fourth • Pick the appropriate equation • Solve for desired quantity

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