M1

1. velocity-time
   1. gradient = acceleration
   2. area = distance
2. acceleration-time
3. distance-time

Annotations:

• \[v = u + at\]
• \[s=\frac{u+v}{2}t\]
• \[v^{2}=u^{2}+2as\]
• \[s = ut + \frac{1}{2}at^{2}\]
• \[s = vt - \frac{1}{2}at^{2}\]

1. horizontal movement
   1. one thing
   2. two things
      1. time lag
      2. distance
2. gravity as acceleration / deceleration
   1. dropping things
   2. throwing things upwards
      1. off something higher
   3. throwing something up towards a falling thing

1. Normal reaction
   1. perpendicular to surface
2. Weight
   1. always down
   2. w = mg
3. Friction
   1. Fmax = mu x R
4. Tension
   1. from strings
   2. goes both ways
5. impulse

   Annotations:

   • \[impulse = Ft\]
   1. change in momentum

      Annotations:

      • \[mv-mu\]
6. momentum

   Annotations:

   • \[momentum=mv\]
   1. conservation of momentum

      Annotations:

      • \[m_{1}u_{1} + m_{2}u_{2} = m_{1}v_{1} + m_{2}v_{2} \]

Annotations:

• cos through the angle

1. force acts at angle
2. object on slope
   1. when tan(x) <= mu, it'll be at rest

1. two objects connected with string

   Annotations:

   • remember tension goes both ways
   • can consider each thing by itself
2. simple horizontal movement
3. slopes
4. simple vertical movement
   1. through water
5. objects inside other objects

   Annotations:

   • can consider whole thing together, or just the object inside
6. pulleys
   1. both vertical
   2. one vertical, one horizontal
   3. one or both on slopes
7. collisions
   1. coalescions
   2. explosions