Posts

Equations of Motion: Types and Their Derivation

Image
Equations of motion are fundamental principles in physics that describe the motion of objects under the influence of forces. These equations are primarily used in kinematics to relate Displacement, velocity, Acceleration, and time. They are derived under the assumption of uniform Acceleration and are essential in solving problems related to linear motion. Types of Equations of Motion There are three primary equations of motion, which are: First Equation of Motion: Second Equation of Motion: Third Equation of Motion: Where: = Final velocity = Initial velocity = Acceleration = Displacement = Time Derivation of Equations of Motion 1. First Equation of Motion (v = u + at) Using the definition of acceleration, which is the rate of change of velocity, we rearranged the equation .  This equation relates final velocity to initial velocity, acceleration, and time. 2. Second Equation of Motion (s = ut + 1/2 at²) From the definition of velocity, the average velocity when accelerati...