Motion Graphs Position-Time (also called Distance-Time or Displacement-Time) d t At rest
rise d slope = run ∆y ∆x t Constant positive velocity
rise d slope = run ∆d ∆d = ∆t ∆t t = velocity Constant positive velocity *Slope of a displacement-time graph indicates velocity
Positive acceleration Negative acceleration d d t t
Velocity-Time v t Constant positive velocity
rise v slope = run ∆v ∆v = ∆t ∆t t = acceleration Positive acceleration *Slope of a velocity-time graph indicates acceleration
v (m/s) t (s) 10 Find area under curve 4 Area = B h = ( 10 m/s )( 4 s ) = 40 m
*The area under the curve of a v (m/s) Find area under curve 36 t (s) 2.5 Area = ½ B h = ½ ( 36 m/s )( 2.5 s ) = 45 m *The area under the curve of a velocity-time graph indicates displacement