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## 2 Motion in One Dimension

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**2 Motion in One Dimension**• Displacement, velocity, speed • Acceleration • Motion with Constant Acceleration • Integration • Hk: 13, 27, 51, 59, 69, 81, 83, 103.**Terminology**• “delta” = change • “o” = initial • “ ” = final • Position • Displacement • Speed • Velocity • Acceleration**Concepts**• Slope & derivative (Giam 12-13) • Average vs instantaneous (Giam 12-13) • Integration & area under curve (Tipler) • Acceleration/force, velocity/force • Graph shapes & equations (Giam 21)**Derivative Equation**• Constant acceleration (constant force) • Take derivative**Integrated Equations**• Integrate “a” with time**V-squared Equation**• Integrate “a” over distance “x”**Average Velocity with Uniform Acceleration**Uniform Acceleration = constant valued acceleration During uniform acceleration, average velocity is halfway between vo and v: 10**Summary**• Speed = rate of travel • Velocity = speed & direction • Acceleration = rate of velocity change • Motion with Constant Acceleration • Integration**Problems**• Describe motion (tipler 49)