lesson
The Cartesian Trajectory Equation of a Projectile
Derive and utilise the parabolic trajectory equation y = x tan(theta) - (g x²)/(2 u² cos²(theta)) to solve obstacle clearance problems.
Updated 1 month ago · 5 views
Premium Lesson
This lesson is part of a track
Public learning track
2D Kinematics and Projectile Motion
7 lessons
Goal
Analyse two-dimensional motion using vectors, vector calculus, and classical projectile trajectory equations.
7 lessons
0 of 7 done
- 2D Kinematics Using Vectors Under Constant AccelerationUp next
- 2D Variable Acceleration Using Vector CalculusNot started yet
- Projectiles: Resolving Motion into Horizontal and Vertical ComponentsNot started yet
- Projectiles: Time of Flight, Range, and Maximum HeightNot started yet
- Projectiles from Elevated Points and Finding Speed and DirectionNot started yet
- The Cartesian Trajectory Equation of a ProjectileYou are here
- Evaluating Modelling Assumptions in Projectile MotionNot started yet
Learning standards covered
OT1.1General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade[Construct and present mathematical arguments through appropriate use of diagrams; sketching graphs; logical deduction; precise statements involving correct use of symbols and connecting language, including: constant, coefficient, expression, equation, function, identity, index, term, variable]
Open Global Standard:OGM.12.NUM.1OGM.13.PRF.1
OT2.2General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade[Construct extended arguments to solve problems presented in an unstructured form, including problems in context]
Open Global Standard:OGM.12.PRC.1OGM.13.PRF.2
OT3.2General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade[Use a mathematical model with suitable inputs to engage with and explore situations (for a given model or a model constructed or selected by the student)]
Open Global Standard:OGM.12.PRC.1OGM.13.PRF.2
OGM.12.NUM.1OGM.13.PRF.1OGM.12.PRC.1OGM.13.PRF.2