Calculate the displacement when initial velocity = 22 m s⁻¹, final velocity = 4 m s⁻¹, time = 17 s.

Displacement = 0.5 × (22 + 4) × 17 = 221 m.

How would you determine the instantaneous velocity of an object from its displacement–time graph?

By finding the gradient of the tangent to the curve at the point corresponding to that instant.

On a velocity–time graph, what does the gradient at any point represent?

The gradient equals the acceleration at that instant.

How can you find the instantaneous acceleration of an object using a velocity–time graph?

By calculating the gradient of the tangent to the curve at the required instant.

What quantity is represented by the area under a velocity–time graph?

The area under the curve equals the displacement.

Describe three methods for estimating the area under a non-linear velocity–time graph.

Counting squares on the grid, using the trapezium rule, or dividing the area into approximate geometric shapes (such as triangles and rectangles) and summing their areas.

OCR A-Level Physics A H556

Practical Skills in the Written Papers

Topic overview Planning an experiment Implementing and recording Processing and interpreting data Plotting and interpreting graphs Evaluating results and procedures Mathematical skills and notation

The Practical Endorsement

Topic overview Analogue and digital measuring instruments Improving accuracy with repeat timing, fiducial markers and plumb lines Timing, calipers and micrometers Constructing and testing circuits Signal generators and oscilloscopes Generating and measuring waves Data loggers, modelling software and ionising radiation

Physical Quantities and Units

Topic overview Physical quantities, estimation and unit conversions S.I. base and derived units Prefixes, homogeneity and labelling conventions

Making Measurements and Analysing Data

Topic overview Systematic and random errors Precision, accuracy and uncertainties

Nature of Quantities

Topic overview Scalars and vectors Adding and resolving vectors

Motion

Topic overview Displacement, speed, velocity and acceleration Motion graphs and the equations of motion Measuring g and investigating motion experimentally Free fall, reaction time and stopping distance Projectile motion

Forces in Action

Topic overview Newton's second law and weight Drag and the factors affecting it Terminal velocity Moments, couples and equilibrium Density, pressure and upthrust

Work, Energy and Power

Topic overview Work done and conservation of energy Kinetic and gravitational potential energy Power and efficiency

Materials

Topic overview Hooke's law and springs Force-extension graphs and work done Elastic potential energy, stress and strain The Young modulus Stress-strain graphs and material behaviour

Newton’s Laws of Motion and Momentum

Topic overview Newton's three laws and linear momentum Force as rate of change of momentum Impulse and force-time graphs Conservation of momentum and collisions

Charge and Current

Topic overview Electric current and the coulomb Elementary charge, charge carriers and Kirchhoff's first law Mean drift velocity

Energy, Power and Resistance

Topic overview Circuit symbols and diagrams Potential difference and e.m.f.Energy transfer in circuits Ohm's law and I-V characteristics Filament lamps, diodes, thermistors and LDRs Resistivity and how it is measured How resistivity varies with temperature Electrical power and the kilowatt-hour

Electrical Circuits

Topic overview Kirchhoff's laws and combining resistances E.m.f., internal resistance and lost volts Potential dividers

Waves

Topic overview Progressive waves and their properties The wave equation Reflection, refraction and diffraction Wave graphs and intensity The electromagnetic spectrum Polarisation Refraction and refractive index Critical angle and total internal reflection The principle of superposition Interference, coherence and path difference Two-source interference, Young's double-slit experiment and the diffraction grating Forming stationary waves Stationary waves on strings and in air columns Measuring the speed of sound Node spacing, amplitude and phase in stationary waves Harmonics and the fundamental mode

Quantum Physics

Topic overview Photons, electronvolts and the Planck constant from LEDs Demonstrating the photoelectric effect Work function and Einstein's equation Electron diffraction The de Broglie equation

Thermal Physics

Topic overview Thermal equilibrium and absolute temperature The kinetic model of solids, liquids and gases Brownian motion and internal energy Specific heat capacity Measuring specific heat capacity Specific latent heat Measuring specific latent heat Moles, the Avogadro constant and kinetic theory Gas laws, the ideal gas equation and r.m.s. speed Maxwell-Boltzmann distribution, Boltzmann constant and internal energy

Circular Motion

Topic overview Radians, angular velocity and period Centripetal force and acceleration

Oscillations

Topic overview Describing simple harmonic motion The defining equation of simple harmonic motion and timing oscillations Velocity, period and graphical relationships Energy in a simple harmonic oscillator Damping, forced oscillations and resonance

Gravitational Fields

Topic overview Gravitational fields and field strength Newton's law of gravitation Field strength of a point mass and the uniform field near Earth Kepler's laws and orbital motion Orbital period and geostationary orbits Gravitational potential Gravitational potential energy and escape velocity

Astrophysics and Cosmology

Topic overview The solar system and the birth of a star The death of a low-mass star Supernovae, neutron stars and black holes The Hertzsprung-Russell diagram Energy levels and emission spectra Absorption spectra and spectral lines Photon energy and the diffraction grating Wien's law and Stefan's law Astronomical distances, parallax and the cosmological principle Doppler shift and Hubble's law The expanding universe and the Big Bang Evidence for the Big Bang and dark energy

Capacitors

Topic overview Capacitance and charging a capacitor Capacitors in series Capacitors in parallel and combined circuits Energy stored by a capacitor Charging and discharging through a resistor Investigating capacitor discharge The time constant Iterative modelling, exponential decay and the constant-ratio property

Electric Fields

Topic overview Electric fields and field lines Coulomb's law and electric field strength Uniform fields, parallel plates and permittivity Electric potential Electric potential energy and capacitance of a sphere

Electromagnetism

Topic overview Magnetic fields and field patterns Fleming's left-hand rule and the motor effect Magnetic flux density and the tesla Charged particles in magnetic fields Magnetic flux, flux linkage and Faraday's law Transformers and the a.c. generator

Nuclear and Particle Physics

Topic overview Alpha-particle scattering and the nuclear model Proton number, nucleon number and isotopes The strong nuclear force and nuclear radius Particles, antiparticles and hadrons Leptons and the quark model Quark composition and charges Beta decay in the quark model Radioactive decay and the three radiations Nuclear decay equations Activity, decay constant and half-life Exponential decay and radioactive dating Mass-energy equivalence Annihilation, mass defect and binding energy Binding energy per nucleon and induced fission The fission reactor and nuclear waste Nuclear fusion and balancing nuclear equations

Medical Imaging

Topic overview The X-ray tube X-ray attenuation and imaging CAT scanning Medical tracers and the gamma camera PET scanning Ultrasound and the piezoelectric transducer Acoustic impedance and reflection Doppler ultrasound

Motion

Motion graphs and the equations of motion

3 things to know
Papers 1 and 3

Overview

Recall questions on gradients and areas of displacement-time and velocity-time graphs, estimating areas under curves, the equations of motion for constant acceleration, when each is used, and calculations with them.

What you need to know

Answer each one before you reveal it.

Your recallNot started

Numbers

How can you find the instantaneous acceleration of an object from a velocity–time graph, what does the area under the graph represent, and what is the first equation of motion for constant acceleration?

Key term

Which kinematic quantities are related by the equation v = u + at?

Key term

Under what conditions can the equations of motion be applied to a falling object?

Questions from this subtopic

Each one with the model answer underneath.

1
Calculate the displacement when initial velocity = 22 m s⁻¹, final velocity = 4 m s⁻¹, time = 17 s.
Model answer
Displacement = 0.5 × (22 + 4) × 17 = 221 m.
2
How would you determine the instantaneous velocity of an object from its displacement–time graph?
Model answer
By finding the gradient of the tangent to the curve at the point corresponding to that instant.
3
On a velocity–time graph, what does the gradient at any point represent?
Model answer
The gradient equals the acceleration at that instant.
4
How can you find the instantaneous acceleration of an object using a velocity–time graph?
Model answer
By calculating the gradient of the tangent to the curve at the required instant.
5
What quantity is represented by the area under a velocity–time graph?
Model answer
The area under the curve equals the displacement.
6
Describe three methods for estimating the area under a non-linear velocity–time graph.
Model answer
Counting squares on the grid, using the trapezium rule, or dividing the area into approximate geometric shapes (such as triangles and rectangles) and summing their areas.

See the rest and revise

Other ways to work this

The same content, four other ways.

What is inside Levo

Six ways to work the same material.

1Closed book

2Open book

3Closed book

The 3-step method, run for you

Answer cold, learn it, then prove it stuck. Levo tracks the jump between your first attempt and your last.

Practical Skills in the Written Papers

The Practical Endorsement

Physical Quantities and Units

Making Measurements and Analysing Data

Cram a whole paper in one sitting

Sort every topic into what you know and what you do not, then drill only the weak ones.

A wave.

longitudinaltransversestationary

Blank Blitz makes facts automatic

Rapid timed gap-fills on the terms and numbers you need to recall without thinking.

AForce is a vector quantity.

BDistance is a scalar quantity.

CVelocity is a vector quantity.

Build It gets the exam shape right

Assemble a full-mark answer from its marking points, in the order an examiner wants them.

Density means mass per unit volume.

TrueFalse

Test It catches misconceptions

Spot the fault in a statement. The traps are the mistakes students actually make.

721941163128510

Brain Breaks between sessions

Short focus games to reset attention, so the next set lands better than the last.

Every question in Motion, on a schedule.

Attempt a question from memory, write the correct version, then attempt it again. Levo records the jump between your first attempt and your last, and brings each question back on the day you are due to forget it.

Start revising, £5 a month See how the method works

Or £46 a year, about £3.83 a month. Cancel anytime.