M1 Tutorials

M1 Tutorials – AQA A Level Maths.

M1 Tutorials

M1 topics

Vectors

Vector Basics

  1. What is a vector and a scalar quantity?
  2. Vector notation 2d
  3. Position vectors 2d
  4. Equal and negative vectors
  5. Multiplying a vector by a scalar 2d
  6. Addition and subtraction of vectors 2d
  7. Magnitude of a 2 dimensional vector
  8. Unit vectors

Kinematics 1

Displacement and Displacement Time Graphs

  1. Displacement
  2. Displacement time graphs

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Motion in a Straight Line

  1. Motion in a straight line with constant acceleration (suvat)
  2. Horizontal motion with constant acceleration
  3. Exam Questions - Horizontal motion
  4. Vertical motion under gravity
  5. Exam Questions - Vertical motion under gravity

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Velocity Time Graphs

  1. Velocity time graphs
  2. Exam Questions - Velocity time graphs

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Velocity Vectors

  1. Calculating a speed and bearing
  2. Calculating a velocity given speed and direction
  3. Calculating the position vector after time t
  4. Constant velocity as the rate of change of position vectors
  5. Exam Questions - Velocity vectors

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Constant Acceleration Vectors

  1. Acceleration as a vector

Statics of a Particle

Mass & weight

  1. Difference between mass and weight

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Force diagrams

  1. Force diagrams - Newton's 3rd law

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Resolving Forces

  1. Resolving forces
  2. Resultant forces - two forces at an angle
  3. Exam Questions - Resultant forces: two forces at an angle
  4. Resultant forces - three or more forces at an angle

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Equilibrium

  1. Equilibrium of a particle
  2. Exam Questions - Equilibrium
  3. Static Forces (3 examples)

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Friction

  1. What is friction, limiting equilibrium and the coefficient of friction?
  2. Exam Questions - Friction

Dynamics

Newton’s Law of Motion : F=ma

  1. Newton's law of motion: F=ma
  2. Motion on a horizontal rough plane
  3. Exam Questions - Horizontal rough plane
  4. Motion on a smooth inclined plane
  5. Motion on a rough inclined plane
  6. Exam Questions - Rough inclined plane

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Lift Problems

  1. Newtons 3rd Law
  2. Forces on a lift and a particle inside

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Connected Particles

  1. Vertical strings over a smooth pulley
  2. Exam Questions - Vertical strings over a smooth pulley
  3. Horizontal planes
  4. Exam Questions - Horizontal planes
  5. Inclined planes
  6. Exam Questions - Inclined planes
  7. Force on a pulley
  8. Exam Questions - Force on a pulley

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Connected Particles (Non Pulley Type)

  1. Exam Questions - Tow bars
  2. Exam Questions - Particles connected by a horizontal string

Collisions

Momentum

  1. Collisions and the conservation of linear momentum
  2. Two particles colliding and then separating
  3. Two particles colliding and moving off as one particle
  4. A bullet being fired from a gun
  5. Exam Questions - Momentum

Kinematics 2

Projectiles

  1. Projectiles
  2. Particle projected at an upward angle from a height above ground
  3. Particle projected at a downward angle from a height above ground
  4. Particle projected horizontally from a height
  5. Finding the speed and direction at a given time
  6. Equation of the trajectory of a projectile
  7. Exam Questions - Projectiles