NEET Motion in a Plane Cheat Sheet

Key Definitions

• Displacement: Shortest distance from initial to final position (vector).

• Velocity: Rate of change of displacement (vector).

• Acceleration: Rate of change of velocity (vector).

Important Concepts

Projectile Motion

• Trajectory: Path followed by a projectile.

• Range: Horizontal distance covered by the projectile.

• Maximum Height: Highest point reached by the projectile.

Circular Motion

• Centripetal Acceleration: Acceleration towards the center of a circular path.

• Tangential Velocity: Velocity along the tangent to the circular path.

Key Formulas

• R: Range

• u: Initial velocity

• θ: Angle of projection

• g: Acceleration due to gravity

h = (u^2 * sin^2(θ)) / (2g) ✅

• h: Maximum height

• u: Initial velocity

• g: Acceleration due to gravity

a_c = v^2 / r ✅

• a_c: Centripetal acceleration

• v: Tangential velocity

• r: Radius of circular path

Common Mistakes to Avoid

Common Mistake: Confusing displacement with distance; remember displacement is a vector quantity.

Memory Tricks

Tip: "RUM" for remembering projectile motion:

• R: Range

• U: Upward motion (max height)

• M: Motion (horizontal)

Key Diagrams

Projectile Motion:
          |
          |  *
          |    *
          |       *
          |          *
          |_____________ 
                   R

Circular Motion:
       *