Why Is Projectile Motion Always a Parabola?
The parabolic arc follows directly from one simple fact: horizontal velocity is constant while vertical acceleration is not.
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Core Concepts
These aren’t abstract ideas — they are precise, testable descriptions of how the physical world behaves. Every engineer, physicist, and scientist builds on them daily.
Three laws that explain why everything accelerates, decelerates, and stays in motion. The starting point for every mechanics problem ever written.
Read the full guide → Waves & OpticsWhat makes a wave “transverse”, how wavelength, amplitude and frequency relate, and why light, radio waves, and seismic S-waves all follow the same rules.
Read the full guide → ThermodynamicsKinetic, potential, thermal and chemical energy explained from first principles. Why conservation of energy is the single most important law in physics.
Read the full guide → Classical MechanicsRange, maximum height, and time of flight derived step-by-step. Includes worked exam examples and a clear explanation of why 45° gives maximum range.
Read the full guide → Waves & OpticsThe universal wave equation derived from scratch. How it applies to sound, light, and ocean waves equally — plus Doppler effect worked examples.
Read the full guide → Classical MechanicsWhy momentum is always conserved in a closed system. Elastic vs inelastic collisions compared, with real examples from car crashes to billiard balls.
Read the full guide →Why Physics Fundamentals
Most physics resources give you formulas. We build the intuition that makes those formulas obvious. That’s the difference.
Classical mechanics, thermodynamics, electromagnetism, wave physics, and quantum mechanics — all taught with the same rigour and clarity by working physicists.
Adjust variables and watch physics happen in real time. No textbook can show you how increasing mass affects orbital radius — our simulations can.
Every problem comes with a full step-by-step solution that explains not just what to do, but why each step is taken.
We never open with a formula. Every topic starts with the physical picture — what’s actually happening — so the maths that follows feels natural.
Vector fields, interference patterns, orbital mechanics, Feynman diagrams — we illustrate the things words can’t fully describe.
Physics Fundamentals charges nothing for any lesson, simulation, or problem set. Good physics education belongs to everyone, not just those who can pay for it.
Full Curriculum
We don’t cherry-pick the easy topics. The curriculum covers every major branch, designed to take you from scratch to a solid undergraduate-level grasp.
Newton’s Laws · Kinematics · Momentum · Rotation
● LiveConservation Laws · Heat Transfer · Entropy · Gas Laws
● LiveTransverse Waves · Sound · Resonance · Doppler
Coming SoonElectric Fields · Circuits · Faraday’s Law · Maxwell
Coming SoonReflection · Refraction · Diffraction · Polarisation
Coming SoonSpecial Relativity · Quantum Mechanics · Nuclear Physics
What’s Coming
We’re building this in public. Every week brings new content, new simulations, and improvements shaped by real students.
Join the waitlist — it’s free →Latest Articles
The parabolic arc follows directly from one simple fact: horizontal velocity is constant while vertical acceleration is not.
Read →Temperature is just the average kinetic energy of molecules. Once you see that, everything else in thermodynamics clicks.
Read →One equation relates the speed, frequency, and wavelength of every wave that has ever existed — sound, light, ocean waves, seismic waves.
Read →The same law that explains a falling apple also predicts the orbit of the Moon to extraordinary precision.
Read →Heat and work are just two different ways energy crosses a system boundary. The first law makes this precise — and profound.
Read →In a closed system, total momentum never changes — not in a billiard-ball collision, not in a rocket launch, not in a galaxy merger.
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FAQ
Physics is the science of matter, energy, space, and time — and how they interact with each other. That sounds broad, and it is. But the remarkable thing about physics is that a surprisingly small number of fundamental laws describe an enormous range of phenomena: from the orbit of a satellite to the glow of a star, from the behaviour of a spring to the structure of an atom.
Physics fundamentals are these core laws and principles. When a student says “I need to understand physics”, what they really mean is: I need to understand a handful of deep ideas well enough to apply them in unfamiliar situations. Memorising formulas is not physics. Understanding why those formulas are true — and when they break down — is.
There are five major branches where the fundamentals live:
These branches aren’t independent silos — they connect deeply. Electromagnetism predicts that light is an electromagnetic wave, which wave physics then describes in detail. Thermodynamics connects to quantum mechanics through statistical mechanics. Learning one branch makes the others easier.
Classical mechanics is the branch of physics that describes how objects move in response to forces. It is the oldest and, in many ways, the most intuitive branch. Newton published its foundations in 1687, and those foundations remain exact for anything larger than an atom moving slower than a few percent of the speed of light — which covers virtually everything in everyday life.
Newton’s three laws are the backbone of classical mechanics. They are short, precise statements, but unpacking them fully takes considerable work:
Kinematics is the language of motion — displacement, velocity, and acceleration — before you introduce forces. The four SUVAT equations describe motion under constant acceleration completely:
Where s is displacement, u is initial velocity, v is final velocity, a is acceleration, and t is time. These four equations, combined with Newton’s second law, solve the vast majority of introductory mechanics problems.
The concept of energy unifies mechanics in a way that forces alone cannot. Work done by a force equals force times displacement in the direction of the force (W = Fd). This work goes into changing an object’s kinetic energy (KE = ½mv²) or potential energy (gravitational PE = mgh, elastic PE = ½kx²).
The Work-Energy Theorem states that the net work done on an object equals its change in kinetic energy. This is one of the most useful shortcuts in mechanics — it often lets you find velocities without ever calculating intermediate forces.
Momentum (p = mv) is conserved whenever the net external force on a system is zero. This applies to every collision and explosion. In a perfectly elastic collision, both momentum and kinetic energy are conserved. In an inelastic collision, only momentum is conserved — kinetic energy converts to heat, sound, or deformation.
Students often confuse “inelastic” with “the objects stick together”. Sticking together is a perfectly inelastic collision — the most extreme case. Any collision where kinetic energy is lost is inelastic, which includes almost every real-world collision.
Thermodynamics is the branch of physics that governs how energy transforms between heat and work. Its four laws, developed in the 19th century, have never been violated by any experiment, making them among the most reliable statements in all of science.
| Law | Statement | What It Means in Practice |
|---|---|---|
| Zeroth Law | If A is in thermal equilibrium with C, and B is with C, then A is in equilibrium with B. | Temperature is a consistent, transitive property — it makes thermometers possible. |
| First Law | Energy cannot be created or destroyed; ΔU = Q − W | You can never get more energy out of a system than you put in. |
| Second Law | The total entropy of an isolated system never decreases. | Heat flows from hot to cold. No process is perfectly efficient. Time has a direction. |
| Third Law | The entropy of a perfect crystal approaches zero as temperature approaches absolute zero. | Absolute zero (0 K) cannot be reached in a finite number of steps. |
Temperature is a macroscopic measure of the average kinetic energy of the microscopic particles in a substance. This is what the kinetic theory of gases makes precise: in a gas, the particles are moving constantly in random directions, and the average of ½mv² for all those particles is directly proportional to the temperature in Kelvin.
This is a beautiful piece of physics. An abstract number you read on a thermometer turns out to be a measure of how frantically tiny particles are vibrating, bouncing, and rotating — something the thermometer itself can’t see.
A wave is a disturbance that transfers energy from one place to another without permanently displacing the medium. This definition covers sound waves (pressure disturbances in air), water waves (displacement of water surface), seismic waves (vibrations in Earth’s crust), and electromagnetic waves (oscillating electric and magnetic fields that require no medium at all).
In a transverse wave, the oscillation is perpendicular to the direction of wave travel. Light, radio waves, and seismic S-waves are transverse. In a longitudinal wave, the oscillation is parallel to the direction of travel — sound is the most important example. Both types obey the universal wave equation.
This equation tells you that for a wave travelling at fixed speed, if you increase its frequency, its wavelength must decrease proportionally — they are inversely related at constant speed. This is why high-pitched sounds (high frequency) have shorter wavelengths, and why visible light (very high frequency) has wavelengths of just 400–700 nanometres.
When a wave source moves relative to an observer, the observed frequency shifts. A source moving towards you compresses the waves in front of it, increasing the frequency you hear (higher pitch). Moving away stretches the waves, lowering the frequency. This Doppler Effect applies to all waves — light included. Astronomers use it to measure how fast distant galaxies are moving away from us, which is how we know the universe is expanding.
Electromagnetism governs the interaction between electric charges and magnetic fields. It is arguably the most practically important branch of physics: every electrical device, every communication system, every medical scanner, and every chemical bond involves electromagnetic forces.
James Clerk Maxwell unified electricity, magnetism, and optics in four equations in 1865 — an achievement often cited as the greatest theoretical advance in physics before quantum mechanics. Maxwell’s equations predict that accelerating charges produce electromagnetic waves that travel at the speed of light. From this, Maxwell correctly concluded that light is an electromagnetic wave — a prediction confirmed by Hertz’s radio wave experiments in 1887.
Classical physics is astonishingly accurate for objects of everyday size and speed. But in two regimes it fails completely: when objects move close to the speed of light, and when objects are as small as atoms or smaller. These regimes are the domain of modern physics.
Einstein’s 1905 special theory of relativity starts from two postulates: the laws of physics are the same in all inertial frames, and the speed of light in a vacuum is the same for all observers regardless of the motion of the source. The consequences are extraordinary: time dilates at high speeds, lengths contract, and mass and energy are equivalent (E = mc²). These are not theoretical curiosities — GPS satellites require relativistic corrections to give accurate positions.
Quantum mechanics describes the behaviour of matter at atomic and subatomic scales. Its central feature is that quantities which appear continuous in everyday life — energy, angular momentum — are in fact quantised at small scales. An electron in an atom can only exist at specific energy levels; it cannot take any energy in between. When it drops from a higher level to a lower one, it emits a photon with exactly the right energy to account for the difference. This is why atomic spectra show sharp lines rather than a continuous spread of colours.
Quantum mechanics also introduces probability as a fundamental feature of nature, not just a reflection of ignorance. The Heisenberg uncertainty principle establishes that certain pairs of physical properties — position and momentum, energy and time — cannot both be known to arbitrary precision simultaneously. This is not a limitation of measurement technology; it is a feature of reality itself.
Physics has a reputation as a difficult subject. Some of that reputation is deserved — it demands both conceptual clarity and mathematical fluency. But much of the difficulty comes from studying it the wrong way. Here are the habits that consistently produce excellent results.
Before you write down F = ma, you should be able to answer: what does force feel like? What does it mean for something to accelerate? If someone pushes a heavy box and a light box with the same force, which accelerates more — and by how much? If you can answer those questions with confidence, the equation F = ma will feel like an obvious summary of something you already understand, not a magic formula to memorise.
Reading a worked solution and understanding it is not the same as being able to solve problems. The only way to develop real problem-solving ability is to struggle with problems before seeing the answer. Spend at least 15 minutes genuinely attempting each problem before looking for help. The struggle itself is the learning.
Physics is deeply interconnected. Energy conservation appears in mechanics, thermodynamics, electromagnetism, and quantum physics. Inverse-square laws appear in gravity, electrostatics, and sound intensity. Looking for these connections actively accelerates understanding of every branch you study.
Every physical equation must be dimensionally consistent — both sides must have the same units. Getting into the habit of checking dimensions reveals errors immediately and often suggests the correct form of an equation even before you’ve derived it.
The best physics education is not necessarily behind a paywall. In 2026, there are several excellent free resources that complement Physics Fundamentals for different learning styles and levels:
| Resource | Best For | Level |
|---|---|---|
| Physics Fundamentals (this site) | In-depth concept guides, worked problems, simulations | Beginner–Intermediate |
| HyperPhysics (Georgia State) | Quick concept reference, interconnected concept maps | All levels |
| MIT OpenCourseWare | Full university lecture notes and problem sets | Intermediate–Advanced |
| The Feynman Lectures (Caltech) | Deep conceptual understanding, beautifully written | Intermediate–Advanced |
| PhET Interactive Simulations (CU Boulder) | Visual, interactive simulations of physics phenomena | Beginner–Intermediate |
| 3Blue1Brown (YouTube) | Visual and intuitive explanations, especially for maths | Beginner–Intermediate |
No single resource is perfect for every learner. The best approach is to use Physics Fundamentals as your primary learning path and draw on others when a different angle on a concept would help.
Physics takes time. There is no shortcut that replaces working through problems, making mistakes, identifying why you made them, and correcting your understanding. But the rewards compound rapidly. Once Newton’s laws are truly internalised, thermodynamics becomes more intuitive. Once energy conservation is a reflex, quantum mechanics becomes much less intimidating. Once the pattern of inverse-square laws is familiar, it recurs everywhere — gravity, electrostatics, sound intensity, light intensity.
The students who succeed at physics are not always the mathematically fastest. They are the ones who refuse to move on until they actually understand — who ask “but why is that true?” rather than accepting a formula at face value. That habit of mind is exactly what Physics Fundamentals is designed to build.
Start with any of the core concepts above. Work through the examples. Attempt the practice problems. Come back when something doesn’t make sense. Physics rewards persistence more than raw talent — and that is actually very good news.
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