International A levels Mathematics Edexcel
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52 topics in 7 modules
âď¸ Mechanics 1 10 topics
- Quantities and units in mechanics
- Kinematics of particles - motion in a straight line
- Dynamics of particles - forces and Newton's laws
- Statics of a particle - resolving forces
- Moments
- Vectors in mechanics
- Kinematics of particles - motion in two dimensions
- Friction
- Linear momentum and its conservation
- Rigid bodies and equilibrium
âď¸ Pure 1 5 topics
- Algebra and functions
- Diffrenciation
- Integration
- Coordinate geometry in the (x,y) plane
- Trignometry
âď¸ Pure 2 8 topics
- Algebra and functions
- Coordinate geometry in the (x,y) plane
- Diffrenciation
- Exponentials and logarithims
- Integration
- Proof
- Sequences and series
- Trignometry
âď¸ Pure 3 6 topics
- Algebra and functions
- Trignometry
- Exponentials and logarithims
- Diffrenciation
- Integration
- Numerical methods
âď¸ Pure 4 12 topics
- Proof by contradiction
- Partial fractions
- Parametric equations
- Binomial expansion
- Implicit diffrenciation
- Parametric diffrenciation
- Volume of a revolution
- Integration by parts
- Integration using partial fractions
- Integration to find area under a curve
- Analytical solution of simple first order differential equations with separable variables
- Vectors
âď¸ Statistics 1 6 topics
- Mathematical modeling
- Representation and summary of data
- Probability
- Correlation and regression
- Discrete random variables
- The normal distribution
âď¸ Statistics 2 5 topics
- Binomial distribution
- Poisson distribution
- Continous random variables
- Continous distributions
- Hypothesis tests
International A levels Mathematics Edexcel Revision Content
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International A levels Mathematics Edexcel - Mechanics 1 - Quantities and units in mechanics Content Preview
Mechanics 1
Quantities and units in mechanics
Basic Principles
- Understand the concept of physical quantities; these are anything that can be measured (mass, length, time, etc.) in mechanics.
- Every physical quantity has a unit of measurement linked to it (kilograms, metres, seconds, etc.).
- Learn to identify scalar quantities (only magnitude) and vector quantities (both magnitude and direction).
Mechanic Quantities and their Units
- Mass (M): This is a scalar quantity. The unit of mass is the kilogram (kg).
- Length (L): This can be a scalar or vector quantity. The unit of length is the meter (m).
- Time (T): A scalar quantity. The unit of time is the second (s).
- Speed/ Velocity (V): Speed is a scalar quantity while Velocity is a vector quantity. Both have units of meter per second (m/s).
- Acceleration (a): Vector quantity. Unit is meter per second squared (m/s²)
- Force (F): Vector quantity. Unit is Newton (N) or kg.m/s².
- Momentum (p): Vector quantity. Unit is kg. m/s.
- Work done (W), Energy (E), and Power (P): Scalar quantities. Units are Joules (J) for work done and energy, and Watt (W) for power.
The Importance of Dimensions
- Understand the concept of dimensions, which are the powers to which the basic quantities must be raised to represent a derived quantity.
- Dimensions are always written in square brackets, e.g. [L] for length.
- Might be required to provide the dimensions for a physical quantity in questions.
Conversions
- Learn to convert different units, like km/h to m/s, kg to g, etc.
- Practice dimensional analysis, which is a method of checking the likely correctness of an equation by considering the dimensions of the quantities on each side of it.
Significant Figures
- Learn to present answers to an appropriate number of significant figures.
- Distinguish between the absolute error, fractional error, and percentage error in measurements.
Implications of Errors in Mechanics
- Understand the implications of errors in calculations, how quantities are affected by small changes, and how these changes propagate through calculations.
- Practice understanding the mechanics of real-world objects where small variations can have significant impacts.
Question: A train starts from rest and accelerates uniformly to a speed of 108 km/h in 30 seconds. What is the acceleration of the train in m/s², presented to 3 significant figures?
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