412 marks

Kinematics

This chapter deals with the motion of objects without considering the forces causing the motion, covering one-dimensional and two-dimensional motion.

20 Topics

40h prep

4% subject weight

20 Topics

The frame of reference

2m1/10

📌 Key FormulaInertial and non-inertial frames.

Motion in a straight line

2m2/10

📌 Key Formulav = u + at, s = ut + ½at², v² = u² + 2as

Position - time graph

2m1/10

📌 Key FormulaSlope gives velocity.

Speed and velocity

2m1/10

📌 Key FormulaSpeed = distance/time, velocity = displacement/time.

Uniform and non-uniform motion

2m1/10

📌 Key FormulaConstant velocity vs. changing velocity.

Average speed and instantaneous velocity

2m2/10

📌 Key FormulaAverage speed = total distance/time, instantaneous velocity = dx/dt

Uniformly accelerated motion

2m2/10

📌 Key FormulaEquations of motion (v = u + at, etc.)

Velocity-time

2m2/10

📌 Key FormulaArea under v-t graph gives displacement.

Position-time graph

2m1/10

📌 Key FormulaSlope gives velocity.

Relations for uniformly accelerated motion

2m2/10

📌 Key Formulas = ((u+v)/2)t

Basics of scalars and vectors

2m1/10

📌 Key FormulaScalar: magnitude only, vector: magnitude and direction.

Addition and subtraction in vector

2m2/10

📌 Key FormulaVector addition using triangle law, components method.

Zero vector

2m1/10

📌 Key FormulaVector with zero magnitude, direction undefined.

Scalar and vector products

2m3/10

📌 Key FormulaDot product: A·B = AB cos θ, Cross product: |A×B| = AB sin θ

Unit Vector

2m1/10

📌 Key Formulaâ = A/|A|

Resolution of a Vector

2m2/10

📌 Key FormulaA = Aₓ i + Aᵧ j, where Aₓ = A cos θ, Aᵧ = A sin θ

Relative Velocity

2m3/10

📌 Key Formulav_AB = v_A - v_B

Motion in a plane

2m2/10

📌 Key FormulaUsing vectors to describe motion in 2D.

Projectile Motion

2m4/10

📌 Key FormulaTime of flight = 2u sin θ/g, Range = u² sin 2θ/g, Max height = u² sin² θ/(2g)

Uniform Circular Motion

2m3/10

📌 Key Formulaa_c = v²/r = ω²r, v = ωr

412 marks

Kinematics

This chapter deals with the motion of objects without considering the forces causing the motion, covering one-dimensional and two-dimensional motion.

20 Topics

40h prep

4% subject weight

20 Topics

The frame of reference

2m1/10

📌 Key FormulaInertial and non-inertial frames.

Motion in a straight line

2m2/10

📌 Key Formulav = u + at, s = ut + ½at², v² = u² + 2as

Position - time graph

2m1/10

📌 Key FormulaSlope gives velocity.

Speed and velocity

2m1/10

📌 Key FormulaSpeed = distance/time, velocity = displacement/time.

Uniform and non-uniform motion

2m1/10

📌 Key FormulaConstant velocity vs. changing velocity.

Average speed and instantaneous velocity

2m2/10

📌 Key FormulaAverage speed = total distance/time, instantaneous velocity = dx/dt

Uniformly accelerated motion

2m2/10

📌 Key FormulaEquations of motion (v = u + at, etc.)

Velocity-time

2m2/10

📌 Key FormulaArea under v-t graph gives displacement.

Position-time graph

2m1/10

📌 Key FormulaSlope gives velocity.

Relations for uniformly accelerated motion

2m2/10

📌 Key Formulas = ((u+v)/2)t

Basics of scalars and vectors

2m1/10

📌 Key FormulaScalar: magnitude only, vector: magnitude and direction.

Addition and subtraction in vector

2m2/10

📌 Key FormulaVector addition using triangle law, components method.

Zero vector

2m1/10

📌 Key FormulaVector with zero magnitude, direction undefined.

Scalar and vector products

2m3/10

📌 Key FormulaDot product: A·B = AB cos θ, Cross product: |A×B| = AB sin θ

Unit Vector

2m1/10

📌 Key Formulaâ = A/|A|

Resolution of a Vector

2m2/10

📌 Key FormulaA = Aₓ i + Aᵧ j, where Aₓ = A cos θ, Aᵧ = A sin θ

Relative Velocity

2m3/10

📌 Key Formulav_AB = v_A - v_B

Motion in a plane

2m2/10

📌 Key FormulaUsing vectors to describe motion in 2D.

Projectile Motion

2m4/10

📌 Key FormulaTime of flight = 2u sin θ/g, Range = u² sin 2θ/g, Max height = u² sin² θ/(2g)

Uniform Circular Motion

2m3/10

📌 Key Formulaa_c = v²/r = ω²r, v = ωr