Page 2: Trajectory Analysis and Field Applications

This section focuses on analyzing specific points in projectile motion and introduces electric field concepts. The mathematical treatment includes finding maximum height and range calculations.

Definition: The range (portée) is the horizontal distance traveled when the projectile returns to its initial height.

Example: At maximum height (flèche), the vertical velocity component becomes zero $Vy = 0$.

Highlight: The range equation demonstrates dependency on initial velocity and launch angle, with maximum range occurring at 45 degrees.

Vocabulary:

• UAB: Potential difference between points A and B
• Champ électrique: Electric field

Page 3: Energy Principles and Field Forces

The final page explores energy conservation principles and force analysis in electric fields, connecting mechanical and electrical phenomena.

Definition: The Théorème de l'énergie cinétique states that the change in kinetic energy equals the work done by all forces.

Example: For electric fields, force Fe = qE acts perpendicular to the field plates, with direction depending on charge polarity.

Highlight: Energy conservation principles allow velocity calculations through the relationship between kinetic and potential energies.

Quote: "Théorème de l'énergie cinétique: AЕçaß = Eç(B) - Ec(A) = ΣWAB (F)"

Vocabulary:

• Epp: Potential energy
• Ec: Kinetic energy
• Em: Mechanical energy

Page 1: Uniform Field Motion Analysis

This page introduces fundamental concepts of motion in a uniform gravitational field. The analysis begins with Newton's Second Law application and develops into detailed motion equations.

Definition: Uniform field motion describes particle behavior under constant acceleration, particularly in gravitational fields where a = -g.

Example: For projectile motion, initial velocity components are split into Vox = V₀cosα and Voy = V₀sinα, where α is the launch angle.

Highlight: The trajectory equation y(x) demonstrates parabolic motion, combining horizontal and vertical components.

Vocabulary:

• Portée: Range of the projectile
• Flèche: Maximum height reached
• Champ de pesanteur: Gravitational field