📘 Leaving Cert Applied Maths – Linear Motion (Uniform Acceleration)

Struggling with Linear Motion in Applied Maths? We've got you covered!

Linear Motion is one of the fundamental topics in Leaving Cert Applied Maths, but questions can quickly become challenging when dealing with multiple stages of motion, velocity-time graphs, two moving objects and motion under gravity.

This 40-page digital booklet breaks down everything you need to know about Linear Motion and Uniform Acceleration, with clear explanations, step-by-step worked examples and a wide selection of past Leaving Cert exam questions to help you build confidence and master the topic!

📚 What's Included?

✅ Equations of Motion (SUVAT) – Learn how to use the four equations of uniformly accelerated motion and select the correct formula for different problems.

✅ Deriving the Equations of Motion – Understand where the SUVAT equations come from, with clear, step-by-step mathematical derivations.

✅ Velocity-Time Graphs – Learn how to sketch and interpret velocity-time graphs, calculate acceleration using gradients and find distances using the area under a graph.

✅ One-Object Motion Problems – Develop confidence solving problems involving a single moving object, including acceleration, deceleration and constant velocity.

✅ Acceleration & Deceleration Problems – Learn how to use ratios of acceleration, deceleration, time and distance to simplify challenging questions.

✅ Multi-Stage Motion Problems – Master questions involving journeys split into several stages, using different equations and information from each section.

✅ Algebraic Motion Problems – Tackle more challenging questions involving unknown variables, forming equations and expressing answers in terms of letters rather than numbers.

✅ Two-Object Motion Problems – Learn how to solve problems involving two moving objects, including different starting times, meeting points and overtaking.

✅ Maximum & Minimum Separation – Understand how to determine when two objects are furthest apart or closest together using their velocities and displacement equations.

✅ Motion Under Gravity – Apply the equations of motion to objects moving vertically under the influence of gravity.

✅ Vertical Projection & Free Fall – Learn how to solve questions involving objects thrown vertically upwards, falling from heights and returning to the ground.

✅ Exam Questions & Practice Problems – Put your knowledge to the test with an extensive selection of past Leaving Cert Higher Level Applied Maths questions, including questions from the 2022, 2023, 2024 and 2026 exam papers.

🎯 Why Choose This Booklet?

Linear Motion isn't just about memorising four equations. It's about understanding how objects move, recognising different stages of a journey and knowing which mathematical methods to apply.

This booklet is designed to make learning easier with:

✔️ Step-by-Step Worked Examples – Detailed solutions that break challenging motion problems into manageable steps.

✔️ Clear Problem-Solving Methods – Structured approaches to one-object, two-object, multi-stage and vertical motion problems.

✔️ Helpful Formula Boxes & Explanations – Key equations, definitions, diagrams and important techniques clearly highlighted throughout the booklet.

✔️ Velocity-Time Graphs & Diagrams – Visual explanations to help you understand acceleration, deceleration, displacement and different stages of motion.

✔️ Exam-Focused Practice – A comprehensive selection of past Leaving Cert Higher Level questions, ranging from straightforward SUVAT applications to more challenging algebraic problems.

✔️ Dedicated Answer Spaces – Graph-paper boxes throughout the booklet so you can work through questions directly on the pages.

✔️ Video Support – Access to a video playlist to support your understanding and revision.

📥 Instant Digital Download

✔️ 40-page PDF booklet
✔️ Leaving Cert Applied Maths content
✔️ Clear, student-friendly notes
✔️ Step-by-step worked examples
✔️ Past Leaving Cert Higher Level exam questions
✔️ Velocity-time graphs and diagrams
✔️ Dedicated graph-paper answer spaces
✔️ Helpful formula summaries and explanations
✔️ Video learning support

Build your confidence, master Linear Motion and get exam-ready with SinCosDan!

Perfect for learning the topic for the first time, revising for class assessments or preparing for the Leaving Cert Applied Maths exam.