Force, Energy, Motion, and Mathematical Techniques
This course is spread across three units:
Force, Energy and Periodic Motion (FEP)
Linear and Parabolic Motion (LPM)
Mathematical Techniques for Mechanics (MTM)
An external SQA exam is sat at the end of the course.
QS: Mechanics Scholar Advanced Higher Mechanics Past PapersYou must have a good grasp of the following:
Key subskills:
Working with time-dependent graphs.
Rates of change in one dimension.
Equations of motion under constant acceleration.
Key subskills:
Displacement, velocity, acceleration vectors.
Resultant and relative velocity.
Relative motion.
Key subskills:
Horizontal & vertical components.
Parabolic motion equations.
Key subskills:
Newton’s laws.
Static/dynamic friction.
Equilibrium.
Key subskills:
Working with impulse and/or force as the rate of change of momentum.
Working with the concept of conservation of linear momentum.
Determining work done by a constant force in one or two dimensions, or a variable force during rectilinear motion.
Using the concepts of kinetic and/or potential energy
Key subskills:
Applying equations to motion in a horizontal circle with uniform angular velocity.
Using equations for horizontal circular motion alongside Newton's Inverse Square Law of Gravitation
Key subskills:
Working with the concept of Simple Harmonic Motion (SHM).
Applying Hooke's Law to problems involving Simple Harmonic Motion
Key subskills:
Determining the turning effect of force.
Using moments to find the centre of mass of a body.
Key subskills:
Expressing rational functions as a sum of partial fractions
(denominator of degree at most 3 and easily factorised)
Key subskills:
Differentiating exponential and logarithmic functions.
Differentiating functions using the chain rule
Differentiating functions given in the form of a product and/or in the form of a quotient.
Finding the derivative of functions defined implicitly.
Finding the derivatives of a function defined parametrically.
Key subskills:
Integrating expressions using standard results.
ntegrating using a substitution when the substitution is given.
Integrating by parts.
Applying integration to a range of physical situations..
Key subskills:
Finding a general solution of a first order differential equation with variables separable.
Solving a simple first order linear differential equations using an integrating factor.
Solving second order homogeneous equations
Free Maths resources for Scottish Secondary students
Advanced Higher Physics
national5maths.co.uk - Free AH Maths of Mechanics
An excellent app. National 5, Higher, Advanced Higher.