Motion: Velocity and Acceleration

Motion

Velocity

• Definition: Velocity is the rate of change of an object's position with respect to time.
• Unit: m/s (meters per second)
• Vector quantity: Velocity has both magnitude (amount of movement) and direction.
• Representation: Velocity is often represented by the symbol "v" and is a vector.

Acceleration

• Definition: Acceleration is the rate of change of an object's velocity.
• Unit: m/s² (meters per second squared)
• Vector quantity: Acceleration has both magnitude and direction.
• Representation: Acceleration is often represented by the symbol "a" and is a vector.

Speed

• Definition: Speed is the rate of change of an object's position with respect to time, without considering direction.
• Unit: m/s (meters per second)
• Scalar quantity: Speed has only magnitude, no direction.
• Representation: Speed is often represented by the symbol "s" and is a scalar.

Circular Motion

• Definition: Circular motion is a type of motion where an object moves in a circular path.
• Characteristics:
  • The object moves in a circular path with a constant radius.
  • The direction of the velocity vector is constantly changing.
  • The acceleration vector is directed towards the center of the circle.

Equation of Motion

• Equation: The equation of motion describes the relationship between an object's position, velocity, and acceleration.
• ** Forms**:
  • v = u + at: The equation of motion for an object with initial velocity "u", acceleration "a", and time "t".
  • s = ut + (1/2)at²: The equation of motion for an object with initial velocity "u", acceleration "a", and time "t".
  • v² = u² + 2as: The equation of motion for an object with initial velocity "u", acceleration "a", and displacement "s".

Motion

Velocity

• Velocity is the rate of change of an object's position with respect to time.
• It is measured in meters per second (m/s).
• Velocity is a vector quantity, having both magnitude (amount of movement) and direction.
• It is often represented by the symbol "v".

Acceleration

• Acceleration is the rate of change of an object's velocity.
• It is measured in meters per second squared (m/s²).
• Acceleration is a vector quantity, having both magnitude and direction.
• It is often represented by the symbol "a".

Speed

• Speed is the rate of change of an object's position with respect to time, without considering direction.
• It is measured in meters per second (m/s).
• Speed is a scalar quantity, having only magnitude, no direction.
• It is often represented by the symbol "s".

Circular Motion

• Circular motion is a type of motion where an object moves in a circular path.
• The object moves in a circular path with a constant radius.
• The direction of the velocity vector is constantly changing.
• The acceleration vector is directed towards the center of the circle.

Equation of Motion

• The equation of motion describes the relationship between an object's position, velocity, and acceleration.
• The equation of motion can be represented in three forms:
  • v = u + at: for an object with initial velocity "u", acceleration "a", and time "t".
  • s = ut + (1/2)at²: for an object with initial velocity "u", acceleration "a", and time "t".
  • v² = u² + 2as: for an object with initial velocity "u", acceleration "a", and displacement "s".

Learn about velocity and acceleration, including their definitions, units, and representations. Understand the concept of motion and its attributes.