Projectiles — A-Level Mathematics Revision
Revise Projectiles for A-Level Mathematics. Step-by-step explanation, worked examples, common mistakes and exam-style practice aligned to AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge International (CIE), SQA, IB, AP.
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Go to Quantities & Units in MechanicsWhat is Projectiles?
Projectiles at A-Level involves analysing the motion of an object that is thrown or projected into the air. You will learn to model the motion of a projectile using vectors and the constant acceleration equations, and to find quantities such as the time of flight, range, and maximum height.
Board notes: All A-Level Maths boards (AQA, Edexcel, OCR) cover projectiles in their mechanics content. The complexity of the problems, such as those involving projectiles landing on a different level, is similar across the boards.
Step-by-step explanationWorked example
A ball is thrown with an initial speed of 20 m/s at an angle of 30° to the horizontal. What is the maximum height reached by the ball? The initial vertical velocity is 20*sin(30°) = 10 m/s. At the maximum height, the vertical velocity is 0. Using the suvat equation v² = u² + 2as, we have 0² = 10² + 2*(-9.8)*s. This gives 19.6s = 100, so s = 100/19.6 = 5.10 m (to 3 s.f.).
Mini lesson for Projectiles
1. Understand the core idea
Projectiles at A-Level involves analysing the motion of an object that is thrown or projected into the air. You will learn to model the motion of a projectile using vectors and the constant acceleration equations, and to find quantities such as the time of flight, range, and maximum height.
Can you explain Projectiles without copying the notes?
2. Turn it into marks
A ball is thrown with an initial speed of 20 m/s at an angle of 30° to the horizontal. What is the maximum height reached by the ball?
Underline the method, evidence, or command-word move that would earn credit in A-Level Mechanics.
3. Fix the likely mark leak
Watch for this mistake: Confusing the horizontal and vertical components of the motion. The horizontal motion has constant velocity, while the vertical motion has constant acceleration due to gravity.
Write one correction rule before doing another practice question.
Practise this topic
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Projectiles practice questions
These are original StudyVector questions for revision practice. They are not official exam-board questions.
Question 1
In one A-Level sentence, explain what Projectiles is testing.
Answer: Projectiles at A-Level involves analysing the motion of an object that is thrown or projected into the air. You will learn to model the motion of a projectile using vectors and the constant acceleration equations, and to find quantities such as the time of flight, range, and maximum height.
Mark focus: Precise definition and topic focus.
Question 2
A student sees a Projectiles question but is not sure how to start. What should the first method line establish?
Answer: It should identify the rule, equation, diagram feature, or transformation before any calculation. That protects method marks and makes later checking easier.
Mark focus: Method selection and command-word control.
Question 3
A student makes this mistake: "Confusing the horizontal and vertical components of the motion. The horizontal motion has constant velocity, while the vertical motion has constant acceleration due to gravity." What should their next repair task be?
Answer: Do one Projectiles question and review the mistake type.
Mark focus: Error correction and next-step practice.
Projectiles flashcards
Core idea
What is the main idea in Projectiles?
Projectiles at A-Level involves analysing the motion of an object that is thrown or projected into the air. You will learn to model the motion of a projectile using vectors and the constant acceleration equations, and...
Common mistake
What mistake should you avoid in Projectiles?
Confusing the horizontal and vertical components of the motion. The horizontal motion has constant velocity, while the vertical motion has constant acceleration due to gravity.
Practice
What is one useful practice task for Projectiles?
Answer one Projectiles question and review the mistake type.
Exam board
How should you use board notes for Projectiles?
All A-Level Maths boards (AQA, Edexcel, OCR) cover projectiles in their mechanics content. The complexity of the problems, such as those involving projectiles landing on a different level, is similar across the boards.
Common mistakes
- 1Confusing the horizontal and vertical components of the motion. The horizontal motion has constant velocity, while the vertical motion has constant acceleration due to gravity.
- 2Making sign errors with the acceleration due to gravity. It is usually taken as -9.8 m/s², but it is important to be consistent with the chosen positive direction.
- 3Incorrectly using the trigonometric functions to find the initial horizontal and vertical components of the velocity. The horizontal component is v*cos(θ) and the vertical component is v*sin(θ), where v is the initial speed and θ is the angle of projection.
Projectiles exam questions
Exam-style questions for Projectiles with mark-scheme style solutions and timing practice. Aligned to AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge International (CIE), SQA, IB, AP specifications.
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Step-by-step method
Step-by-step explanation
4 steps · Worked method for Projectiles
Core concept
Projectiles at A-Level involves analysing the motion of an object that is thrown or projected into the air. You will learn to model the motion of a projectile using vectors and the constant accelerati…
Frequently asked questions
How do you find the range of a projectile?
The range of a projectile is the horizontal distance it travels before it returns to its initial height. You can find the range by first finding the time of flight, and then multiplying this by the horizontal component of the velocity.
What is the time of flight of a projectile?
The time of flight is the total time the projectile is in the air. You can find the time of flight by considering the vertical motion and finding the time it takes for the projectile to return to its initial height.