M1

M1

1. Things moving in a straight line

   • graphs
     • velocity-time
       • gradient = acceleration
       • area = distance
     • acceleration-time
     • distance-time
   • constant acceleration formulae
     • \[v = u + at\]
     • \[s=\frac{u+v}{2}t\]
     • \[v^{2}=u^{2}+2as\]
     • \[s = ut + \frac{1}{2}at^{2}\]
     • \[s = vt - \frac{1}{2}at^{2}\]
     • horizontal movement
       • one thing
       • two things
         • time lag
         • distance
     • gravity as acceleration / deceleration
       • dropping things
       • throwing things upwards
         • off something higher
       • throwing something up towards a falling thing
   • s = vt (constant speed)

2. Forces on straight-line things

   • F=ma
   • Forces
     • Normal reaction
       • perpendicular to surface
     • Weight
       • always down
       • w = mg
     • Friction
       • Fmax = mu x R
     • Tension
       • from strings
       • goes both ways
     • impulse
       • \[impulse = Ft\]
       • change in momentum
         • \[mv-mu\]
     • momentum
       • \[momentum=mv\]
       • conservation of momentum
         • \[m_{1}u_{1} + m_{2}u_{2} = m_{1}v_{1} + m_{2}v_{2} \]
   • Resolving forces
     • cos through the angle
     • force acts at angle
     • object on slope
       • when tan(x) <= mu, it'll be at rest
   • question types
     • two objects connected with string
       • remember tension goes both ways
       • can consider each thing by itself
     • simple horizontal movement
     • slopes
     • simple vertical movement
       • through water
     • objects inside other objects
       • can consider whole thing together, or just the object inside
     • pulleys
       • both vertical
       • one vertical, one horizontal
       • one or both on slopes
     • collisions
       • coalescions
       • explosions