Pro Plus model samples — 5-topic bundle

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Problem Solving and Advanced Kinematics/Dynamics

You'll learn how to pull numbers off distance-time and velocity-time graphs, turn them into speed, acceleration and force using the right equations, and chain these together in multi-step problems. You'll also see how Newton's second law explains stopping distances, speeding cars, and why a plane's wings keep it in the air. By the end, you can plan a solution path before you even touch a calculator.

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Real-World Applications of Forces and Motion

Every push or pull you see in the real world — a braking car, a lever lifting a rock, a plane staying level — comes down to the same question: are the forces balanced or not? Balanced forces mean no change in motion; unbalanced forces mean something speeds up, slows down, or changes direction. Simple machines and wings don't cheat this rule — they just rearrange forces to make a job easier. If forces don't cancel out, something has to move or change speed.

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Work, Energy, and Simple Machines

You'll learn how physics defines "work" precisely — force times distance, not just effort — and how machines never give you free energy, only trade force for distance. You'll calculate work, mechanical advantage, and efficiency for levers, pulleys, and inclined planes. By the end you'll know why no machine is ever 100% efficient.

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Introduction to Forces and Newton's Laws

You'll learn what a force actually is, why unbalanced forces change motion while balanced ones don't, and how Newton's three laws explain everything from a parked car to a jet taking off. You'll practise calculating force, mass and acceleration with real numbers. By the end, you'll read a motion situation and know exactly which law explains it.

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Review

In the 1880s, Hermann Ebbinghaus memorized lists of nonsense syllables and tested himself over time. He found that forgetting isn't linear — it's exponential and front-loaded. Roughly:

$$R(t) = e^{-t/s}$$

where $R$ is the fraction you remember, $t$ is time since learning, and $s$ is a "strength" parameter that depends on how well you learned the material. The key insight isn't the exact formula — it's the shape. Without any review, you lose about 50-70% of new material within 24 hours. But each time you review successfully, $s$ grows, meaning the curve flattens and the next review can wait longer.