Motion in a Plane — Class 11 CBSE Physics revision notes
A 6-page visual revision sheet for Motion in a Plane, written for Class 11 CBSE Physics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
Page 1 as PDF
Motion in a Plane in one look
two axes now, resolve first, then it's two straight lines
Scalar vs vector
- only a size, no direction
- mass, time, speed, energy, temperature
- size AND direction, both needed
- displacement, velocity, acceleration, force
Special vectors
- equal vectors: same magnitude, same direction, starting point doesn't matter
- negative vector: same magnitude, opposite direction, -A just reverses the arrow
- unit vector: magnitude 1, direction only, A = fracA|A|
- zero vector: magnitude 0, direction undefined, A + (-A) = 0
Magnitude and direction of the resultant
- resultant magnitude
R = √A^2 + B^2 + 2ABcosθ - direction, from A
tanα = Bsinθ/A + Bcosθ - subtraction
A - B = A + (-B)
Resultant: special angles
- same direction, θ=0° — vectors simply add
- opposite, θ=180° — vectors subtract
- perpendicular, θ=90° — cosine term vanishes
- equal magnitudes, A=B — resultant bisects the angle between them
Page 1 of 6. The full sheet, all 6 pages, opens free in the app.
What this Motion in a Plane sheet covers
- Scalar vs vector
- Scalar
- Vector
- Special vectors
- Adding vectors geometrically
- Magnitude and direction of the resultant
- resultant magnitude
- direction, from A
- subtraction
- Resultant: special angles
- Resolving into components
- Projectile motion, the big idea
- Time, height, range
- time of flight
- time to reach the top
- maximum height
- horizontal range
- Range extremes
- Reading the flight
- Velocity at any instant, and the path
- horizontal component, fixed
- vertical component
- speed at time t
- direction at time t
- trajectory, the path shape
- Launched horizontally from a height
- falls for
- lands ahead by
- hits the ground at angle
- Projectile on an incline
- incline β, launch θ to the horizontal
- range along the slope
- max range up the incline when
- Angular quantities: θ, ω, α
- angle swept at the centre, cutting an arc s
- angular velocity, rad/s
- angular acceleration, rad/s^2
- linear from angular
- Uniform circular motion
- Centripetal acceleration
- acceleration towards the centre
- in terms of ω
- period from ω
- Speeding up on a circle
- tangential part, along v
- centripetal part, to the centre
- total acceleration
- angle β between a and v
- Relative velocity in a plane
- Rain and the umbrella
- River crossing
- shortest time: head straight across a river of width d
- carried downstream meanwhile, the drift
- shortest path: head upstream at φ
- crossing time on the shortest path
- Closest approach of two movers
- separation d, angle φ between the joining line and v_rel
- reached after
- Units and dimensions
- θ angle
- ω angular velocity
- α angular acceleration
- v velocity
- a, a_c acceleration
- T period
- Symbols
- Traps that cost marks
- Tricks that save time
How CapCompass uses this sheet
These notes are not a standalone PDF. CapCompass plans Physics chapter by chapter against your real exam dates and free hours, and when the plan reaches Motion in a Plane the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.