Motion in 1 Dimension Physics: Chapter 2-1 Pages 40-47

Displacement Displacement- length of the straight line drawn from initial position to final position. Change in position of an object Measured in meters (or km, cm, etc.)

Displacement Displacement ≠ distance traveled

Displacement Coordinate systems used to describe motion (x, y, z) x i = initial position x f = final position  Horizontal = x-axis (Δx)  Vertical = y-axis (Δy)

Displacement Displacement = change in position = final position – initial position Δx = change (delta) in x-axis ∆x = x f – x i Δy = y f – y i

Displacement A point of reference is arbitrarily chosen, but the same point must be used through the problem Displacement can be positive or negative * has magnitude & direction (+ or -) for consistency to right to left

Velocity Velocity – change in displacement during a given time interval in a certain direction  Measured in meters per second (m/s)

Velocity Average velocity = change in position = displacement change interval time interval V avg = Δx = X f – X i Δ t t f – t i

Velocity Velocity ≠ speed Velocity has magnitude & direction Speed has magnitude, no direction

Graphing Velocity Velocity can be interpreted graphically Displacement is measured over time at specific intervals When points plotted on a graph, the slope = average velocity

Graphing Velocity Slope = rise = change in vertical coordinate run change in horizontal coordinates V avg = Δx = X f – X i Δ t t f – t i

Graphing Velocity Steeper slope = larger velocity Horizontal slope = no velocity (object at rest)