Learning objective
Q4 Use calculus in kinematics for motion in a straight line, including v = dr/dt, a = dv/dt = d^2r/dt^2, r = integral of v dt and v = integral of a dt, and extend to two dimensions using vectors.
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Topic
Mechanics
Subtopic
Calculus in kinematics
Aqa A Level MathematicsPaper 2
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Q4 Use calculus in kinematics for motion in a straight line, including v = dr/dt, a = dv/dt = d^2r/dt^2, r = integral of v dt and v = integral of a dt, and extend to two dimensions using vectors
- This point belongs to Mechanics, especially Calculus in kinematics.
- You need to be able to q4 Use calculus in kinematics for motion in a straight line, including v = dr/dt, a = dv/dt = d^2r/dt^2, r = integral of v dt and v = integral of a dt, and extend to two dimensions using vectors.
- The key ideas to know are calculus, kinematics, and vectors.
- Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.
Key concepts
calculuskinematicsvectors
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This objective helps connect Calculus in kinematics to exam-style questions, flashcards, and revision notes for Mechanics.
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Open revision notesRelated learning objectives
- P1 Understand and use fundamental quantities and units in the SI system, including length, time and mass; understand and use derived quantities and units including velocity, acceleration, force, weight and moment.
Quantities and units in mechanics
- Q1 Understand and use the language of kinematics, including position, displacement, distance travelled, velocity, speed and acceleration.
Kinematics language
- Q2 Understand, use and interpret graphs in kinematics for motion in a straight line, including displacement against time with gradient interpretation and velocity against time with gradient and area interpretation.
Kinematics graphs
- Q3 Understand, use and derive the formulae for constant acceleration for motion in a straight line and extend to two dimensions using vectors.
Constant acceleration
- Q5 Model motion under gravity in a vertical plane using vectors, including projectiles.
Projectiles
