 # 2 Motion in One Dimension Displacement, velocity, speed Acceleration Motion with Constant Acceleration Integration Hk: 13, 27, 51, 59, 69, 81, 83, 103.

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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

Derivative Equation

Integrated Equations Integrate “a” with time

Integrated Equations

V-squared Equation Integrate “a” over distance “x”

V-squared Equation

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)

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