AS Mathematics applied content Section B Mechanics – Unit Estimated hours 6 Quantities and units in mechanics Introduction to mathematical modelling and standard S.I. units of length, a 1 time and mass Definitions of velocity, speed, acceleration and weight and b 2 displacement; Vector and scalar quantities Kinematics 1 (constant acceleration) 7 a Graphical representation of velocity, acceleration and displacement 4 Motion in a straight line under constant acceleration; formulae for suvat b 6 constant acceleration; Vertical motion under gravity 8 Forces & Newton’s laws a Newton’s first law, force diagrams, equilibrium, introduction to i, j system 4 Newton’s second law, = connected particles (no resolving forces ma’, ‘F b or use of = Newton’s third law: equilibrium, problems involving 6 F μR); smooth pulleys 9 Kinematics 2 (variable acceleration) a Variable force; Calculus to determine rates of change for kinematics 4 b Use of integration for kinematics problems i.e. 3 30 hours UNIT 6: Quantities and units in mechanics SPECIFICATION REFERENCES 6.1 Understand and use fundamental quantities and units in the S.I. system: length, time, mass. Understand and use derived quantities and units: velocity, acceleration, force, weight PRIOR KNOWLEDGE GCSE (9-1) in Mathematics at Higher Tier
AS Mathematics applied content Section B – Mechanics Unit Estimated hours 6 Quantities and units in mechanics a Introduction to mathematical modelling and standard S.I. units of length, time and mass 1 b Definitions of velocity, speed, acceleration and weight and displacement; Vector and scalar quantities 2 7 Kinematics 1 (constant acceleration) a Graphical representation of velocity, acceleration and displacement 4 b Motion in a straight line under constant acceleration; suvat formulae for constant acceleration; Vertical motion under gravity 6 8 Forces & Newton’s laws a Newton’s first law, force diagrams, equilibrium, introduction to i, j system 4 b Newton’s second law, ‘F = ma’, connected particles (no resolving forces or use of F = μR); Newton’s third law: equilibrium, problems involving smooth pulleys 6 9 Kinematics 2 (variable acceleration) a Variable force; Calculus to determine rates of change for kinematics 4 b Use of integration for kinematics problems i.e. 3 30 hours UNIT 6: Quantities and units in mechanics SPECIFICATION REFERENCES 6.1 Understand and use fundamental quantities and units in the S.I. system: length, time, mass. Understand and use derived quantities and units: velocity, acceleration, force, weight PRIOR KNOWLEDGE GCSE (9-1) in Mathematics at Higher Tier
A_level_Maths_2_years_SoW.docx