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".