Know that a deceleration is a negative acceleration and use this in calculations

IGCSE Physics 0625 – Core Topics Overview

1. Motion – Objective (Core 1.2.1)

Know that a deceleration is simply a negative acceleration and be able to use this fact correctly in calculations.


2. Core definitions & symbols (Core 1.2.2)

Quantity Symbol Definition Unit
Distance (scalar) s Path length travelled m
Displacement (vector) \(\vec{s}\) Shortest straight‑line distance between start and finish, with direction m
Speed (scalar) v Distance travelled per unit time m s‑1
Velocity (vector) \(\vec{v}\) Displacement per unit time (has direction) m s‑1
Acceleration (vector) \(\vec{a}\) Rate of change of velocity m s‑2
Mass m Quantity of matter in an object kg
Weight W Force of gravity on a mass (W = mg) N
Force F Interaction that changes the state of motion (vector) N
Momentum \(\vec{p}\) Mass × velocity (vector) kg m s‑1
Impulse \(\vec{J}\) Force × time = change in momentum N s
Work W Force × displacement in the direction of the force J (N m)
Power P Rate of doing work (or energy transfer) W (J s‑1)

3. Key kinematic formulas (Core 1.2.3)

  • Acceleration: \(\displaystyle \vec{a}= \frac{\Delta\vec{v}}{\Delta t}\)
  • Velocity (constant acceleration): \(\displaystyle \vec{v}= \vec{u}+ \vec{a}t\)
  • Displacement (constant acceleration): \(\displaystyle \vec{s}= \vec{u}t+\frac{1}{2}\vec{a}t^{2}\)
  • Velocity–displacement relation: \(\displaystyle v^{2}=u^{2}+2as\)
  • Average speed: \(\displaystyle \bar v =\frac{\text{total distance}}{\text{total time}}\)

Using deceleration in calculations

When an object slows down, its acceleration is negative (a deceleration). In equations simply substitute a negative value for \(\vec{a}\).

Example – A car travelling at 20 m s‑1 brakes uniformly to rest in 5 s.

  1. Identify: \(u = 20\; \text{m s}^{-1},\; v = 0,\; t = 5\; \text{s}\).
  2. Find the acceleration: \(\displaystyle a = \frac{v-u}{t}= \frac{0-20}{5}= -4\; \text{m s}^{-2}\). The negative sign indicates deceleration.
  3. Find the distance covered while stopping: \(s = ut+\frac12 a t^{2}= 20(5)+\frac12(-4)(5)^{2}=100-50=50\; \text{m}\).

4. Motion – Additional Core Content (1.1, 1.3‑1.7)

4.1 Physical quantities & measurement (1.1)

  • Scales, rulers, stop‑watches, digital timers – accuracy & uncertainty.
  • Average vs. instantaneous speed/velocity (gradient of a distance‑time graph).

4.2 Forces and Newton’s laws (1.3)

  • Resultant force, balanced vs. unbalanced forces.
  • Weight \(W = mg\) (g ≈ 9.8 m s‑2).
  • Friction (static & kinetic) and its effect on motion.
  • Turning moments: \(M = Fd\).

4.3 Momentum, impulse and conservation (1.4)

  • \(\vec{p}=m\vec{v}\); impulse \(\vec{J}=F\Delta t = \Delta\vec{p}\).
  • Conservation of momentum in isolated systems (e.g., collisions).

4.4 Work, energy and power (1.5)

  • Work \(W = F s \cos\theta\).
  • Kinetic energy \(E_k = \frac12 mv^{2}\); gravitational potential energy \(E_p = mgh\).
  • Conservation of mechanical energy (neglecting losses).
  • Power \(P = \frac{W}{t} = Fv\).

4.5 Energy resources and efficiency (1.6)

  • Renewable vs. non‑renewable sources.
  • Efficiency \(\displaystyle \eta = \frac{\text{useful energy output}}{\text{total energy input}}\times100\%.\)

4.6 Waves and optics basics (1.7)

  • Wave terminology – crest, trough, wavelength \(\lambda\), period \(T\), frequency \(f\).
  • Wave speed \(v = f\lambda\).
  • Reflection, refraction and the law of reflection.

5. Thermal Physics (Core 2)

  • Particle model – matter made of particles in constant motion.
  • Temperature scales (Celsius, Kelvin) and conversion \(K = ^\circ\!C + 273\).
  • Specific heat capacity: \(Q = mc\Delta T\).
  • Phase changes: latent heat of fusion/melting and vaporisation/condensation.
  • Heat transfer methods – conduction, convection, radiation.
  • Practical example: Calculating the energy required to heat 250 g of water from 20 °C to 80 °C (use \(c_{\text{water}} = 4180\; \text{J kg}^{-1}\!^\circ\!C^{-1}\)).

6. Waves (Core 3)

  • Transverse vs. longitudinal waves.
  • Wave equation \(v = f\lambda\); use for sound and light.
  • Reflection, refraction, diffraction and interference (basic concepts).
  • Electromagnetic spectrum – radio, microwaves, infrared, visible, ultraviolet, X‑rays, gamma rays; everyday applications.
  • Ray diagrams for mirrors and lenses (concave, convex, converging, diverging).

7. Electricity & Magnetism (Core 4)

7.1 Basic electrical quantities

  • Charge \(Q\) (C), current \(I = \frac{\Delta Q}{\Delta t}\) (A), potential difference \(V\) (V), resistance \(R\) (Ω), power \(P = VI\).
  • Ohm’s law \(V = IR\); series and parallel circuits.

7.2 Magnetic fields

  • Field lines, Earth’s magnetic field, magnetic force on a moving charge \(F = Bqv\sin\theta\).
  • Electromagnets and solenoids.

7.3 Electromagnetic induction

  • Faraday’s law – induced emf \(\mathcal{E} = -\frac{\Delta\Phi}{\Delta t}\).
  • Generators, transformers and the principle of a simple motor.

7.4 Safety

  • Fuses, circuit breakers, earthing, RCDs.
  • Safe handling of batteries and high‑voltage equipment.

8. Nuclear Physics (Core 5)

  • Structure of the atom – protons, neutrons, electrons; isotopes.
  • Radioactive decay types: alpha (α), beta (β), gamma (γ).
  • Half‑life \(t_{1/2}\) and decay law \(N = N_0\left(\frac12\right)^{t/t_{1/2}}\).
  • Applications: medical imaging, radiocarbon dating, nuclear power.
  • Safety: shielding, distance, time.

9. Space Physics (Core 6)

  • Earth–Sun–Moon system – rotation, revolution, seasons.
  • Orbits – circular approximation, orbital speed \(v = \frac{2\pi r}{T}\).
  • Phases of the Moon and eclipses.
  • Basic Solar System overview – planets, moons, asteroids, comets.

10. Practical & Experimental Skills (Section 4)

Developing competence in planning, conducting and analysing investigations is essential for AO3 outcomes.

  • Measuring g with a simple pendulum (period \(T = 2\pi\sqrt{\frac{L}{g}}\)).
  • Determining density by water‑displacement method.
  • Investigating the relationship between force, mass and acceleration (Newton’s 2nd law).
  • Exploring energy transformations using a roller‑coaster model (potential ↔ kinetic).
  • Mapping magnetic field lines with iron filings and a bar magnet.
  • Half‑life simulation using a “decay” dice‑roll activity and plotting exponential decay.

11. Summary of the Deceleration Concept

  • Deceleration = acceleration with a negative sign.
  • Use the same kinematic equations; just insert the negative value for \(\vec{a}\).
  • Remember: a negative velocity indicates motion opposite to the chosen positive direction; a negative acceleration indicates the velocity is becoming less positive (or more negative).
  • Typical exam question: “A cyclist slows from 12 m s‑1 to 4 m s‑1 in 3 s. Calculate the deceleration and the distance covered.” – Apply the formulas above.

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