# Motion in One Dimension. Displacement  x = x f - x i.

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Motion in One Dimension

Displacement

 x = x f - x i

Average Velocity V avg =  x/  t v avg = (x f – x i )/(t f – t i )

Velocity has magnitude and direction (25 mph west) Speed has only magnitude (25 mph)

Finding Velocity Graphically Slope = rise / run =  y /  x V avg =  x /  t

position (m) time (s)

Acceleration the rate of change of velocity a avg =  v /  t

Since velocity has magnitude and direction and a avg =  v /  t acceleration has magnitude and direction

Finding Acceleration Graphically Slope = rise / run =  y /  x a avg =  v /  t

velocity (m/s) time (s)

Distance (m) photo over 2 s Red ball Displacement? Average velocity? Average acceleration?

with constant acceleration v avg =  x /  t = (v i + v f ) / 2  x = ½(v i + v f )  t

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