M1

antybob23
Mind Map by antybob23, updated more than 1 year ago
antybob23
Created by antybob23 over 6 years ago
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1

Description

A-Level Maths Mind Map on M1, created by antybob23 on 11/16/2013.
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Resource summary

M1
1 Things moving in a straight line
1.1 graphs
1.1.1 velocity-time
1.1.1.1 gradient = acceleration
1.1.1.2 area = distance
1.1.2 acceleration-time
1.1.3 distance-time
1.2 constant acceleration formulae

Annotations:

  • \[v = u + at\]
  • \[s=\frac{u+v}{2}t\]
  • \[v^{2}=u^{2}+2as\]
  • \[s = ut + \frac{1}{2}at^{2}\]
  • \[s = vt - \frac{1}{2}at^{2}\]
1.2.1 horizontal movement
1.2.1.1 one thing
1.2.1.2 two things
1.2.1.2.1 time lag
1.2.1.2.2 distance
1.2.2 gravity as acceleration / deceleration
1.2.2.1 dropping things
1.2.2.2 throwing things upwards
1.2.2.2.1 off something higher
1.2.2.3 throwing something up towards a falling thing
1.3 s = vt (constant speed)
2 Forces on straight-line things
2.1 F=ma
2.2 Forces
2.2.1 Normal reaction
2.2.1.1 perpendicular to surface
2.2.2 Weight
2.2.2.1 always down
2.2.2.2 w = mg
2.2.3 Friction
2.2.3.1 Fmax = mu x R
2.2.4 Tension
2.2.4.1 from strings
2.2.4.2 goes both ways
2.2.5 impulse

Annotations:

  • \[impulse = Ft\]
2.2.5.1 change in momentum

Annotations:

  • \[mv-mu\]
2.2.6 momentum

Annotations:

  • \[momentum=mv\]
2.2.6.1 conservation of momentum

Annotations:

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

Annotations:

  • cos through the angle
2.3.1 force acts at angle
2.3.2 object on slope
2.3.2.1 when tan(x) <= mu, it'll be at rest
2.4 question types
2.4.1 two objects connected with string

Annotations:

  • remember tension goes both ways
  • can consider each thing by itself
2.4.2 simple horizontal movement
2.4.3 slopes
2.4.4 simple vertical movement
2.4.4.1 through water
2.4.5 objects inside other objects

Annotations:

  • can consider whole thing together, or just the object inside
2.4.6 pulleys
2.4.6.1 both vertical
2.4.6.2 one vertical, one horizontal
2.4.6.3 one or both on slopes
2.4.7 collisions
2.4.7.1 coalescions
2.4.7.2 explosions
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