Linear motion

• s is displacement ( m )
• u is initial velocity ( m/s )
• v is final velocity ( m/s )
• a is acceleration ( m / s ^2 )
• t is time ( s )
• v = u + at
• v ^2 = u ^2 + 2 a s

  $v^2 =$$u^2 +$$2as$
• v = u + a t
• distance = initial velocity x time + 0.5 acceleration x time squared


  $s =$$ut +$$\frac {1}{2}at^2$
• $s=$$\left(\frac{u+v}{2}\right)t$


  distance = initial + final velocity / 2 x time
• v = s / t

  velocity = displacement / time
• instantaneous speed = absolute value of the gradient of distance vs time graph
• average speed = total distance travelled / total time taken
• km / h to m / s

  shortcut (km / h) / 3.6
• m/s to km/h

  shortcut (km/h) x 3.6