Motion

• Scalar


  Physical quantity, size only
• Vector


  Physical quantity, size and direction
• Distance


  How far travelled
• Displacement


  How far travelled and distance from start
• Speed = distance/time

  s = d/t
• Average speed = total distance/ total time

  avg speed = td/tt
• Average speed = (initial speed + final speed)/2

  avg speed = u+v/2
• Graph line


  Goes through origin = directionally proportional
• Reliable results


  Repeat & average (errors = humans)
• Rate of change = final speed - initial speed / time

  ROCOS = v-u/t
• Velocity


  speed with direction
• Average velocity = displacement / time

  Av = Disp/t
• Average velocity = (initial velocity + final velocity)/2

  AV = U+V/2
• Acceleration 


  Velocity of object increases or decreases
• Acceleration = (final velocity - initial velocity)/time

  A = V-U/t
• Acceleration positive


  velocity increasing
• Acceleration negative


  Velocity decreasing, deceleration or retardation
• Gradient


  Measure of how steep a line is
• Gradient-rise/run

  Gradient = rise / run Grad = rise/run

  
• Gradient - Displacement/time

  Gradient = velocity

  Area = nothing

  
• Gradient - speed / time

  Gradient = rate of change of speed

  Area = distance

  
• Gradient - distance / time

  Gradient = speed

  Area = nothing

  
• Gradient - Velocity / time

  Gradient = acceleration

  Area = displacement

  
• Gradient - velocity / time

  Displacement = area under graph

  A= 1/2 bh

  B = bh

  C = 1/2 bh

  A+B+C = displacement