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with some biology as well for a levels
Typology: Study notes
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Covers the fundamental mechanics concepts.
Displacement: (m) Velocity: (m/s) Acceleration: (m/s²) Time: (s)
Use when acceleration is constant. Where: - u = initial velocity - v = final velocity
Integration:
v^2 = u^2 + 2 as s = vt − at 2
s = t 2 ( u + v ) v = dt ds a = = dt dv dt^2 d s^2
Gradient = velocity
Gradient = acceleration Area under graph = displacement
Area under graph = change in velocity
If resultant force = 0 → object moves at constant velocity or rest
Resultant force = mass × acceleration
For every action, there is an equal and opposite reaction
v = ∫ a dt s = ∫ v dt
Use: Same: - acceleration - tension (if light string) Treat particles separately.
Horizontal motion: Vertical motion: Resolve velocity: Horizontal: Vertical: Maximum height: Time of flight: Use vertical SUVAT Range:
Moment = force × perpendicular distance F = ma a = 0 v = constant a = − g u cos θ u sin θ v = 0 Range = ( u cos θ )(time)
Units: Nm Principle of moments (equilibrium): Clockwise moments = Anticlockwise moments
Builds on Year 1 and introduces more advanced calculus-based motion and modelling.
Moment = force × perpendicular distance Units: Nm Principle of moments (equilibrium): Clockwise moments = Anticlockwise moments
Centre of mass = balance point Take moments about a point to find unknown distances
Use calculus: If acceleration given: Integrate to find velocity If velocity given: Integrate to find displacement M = F d M = F d
