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Kinematic Equations

Understand the kinematic equations and their applications in physics, specifically for motion with uniform (constant) acceleration. Learn to calculate final velocity, displacement, and solve problems using these equations efficiently.

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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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