Concept of Mass:

• Mass is a measure of the amount of matter in an object.
• It is a scalar quantity, meaning it has magnitude only.
• SI unit: kilogram (kg).
• Mass remains constant regardless of location (unlike weight).

Concept of Acceleration:

• Acceleration is the rate of change of velocity with respect to time.
• It is a vector quantity, meaning it has both magnitude and direction.
• SI unit: \( \text{m/s}^2 \).
• Formula:
  

  \( a = \dfrac{\Delta v}{\Delta t} \)

Relationship Between Mass and Acceleration:

• According to Newton’s Second Law of Motion:
  

  \( F = m \times a \)

• For a constant force, acceleration is inversely proportional to mass:
  

  \( a \propto \dfrac{1}{m} \)

• For a given mass, acceleration is directly proportional to the applied force.

Key Notes:

• A larger mass will experience less acceleration for the same applied force.
• Smaller mass objects accelerate more under the same force.
• This relationship is crucial in vehicle design, spacecraft motion, and sports science.