Equations of Motion (Constant Acceleration) - SS1 Physics Lesson Note

The equations of motion describe the relationship between an object's displacement, velocity, acceleration, and time when the object undergoes constant acceleration. These equations are derived based on the assumption that the acceleration remains constant throughout the motion. There are three primary equations of motion for constant acceleration:

1. Displacement equation:

   The displacement equation relates the object's displacement (Δx) to its initial velocity (v0), time (t), and constant acceleration (a):

  Δx = v0t + (1/2)at2

2. Velocity equation:

   The velocity equation relates the object's final velocity (v) to its initial velocity (v0), time (t), and constant acceleration (a):

   v = v0 + at

3. Acceleration equation:

   The acceleration equation relates the object's final velocity (v) to its initial velocity (v0), displacement (Δx), and time (t):

   v2 = v02 + 2aΔx

These equations are interrelated and can be used to solve various problems involving motion with constant acceleration. They allow us to calculate the unknowns (displacement, velocity, acceleration, or time) when given appropriate information.

It's important to note that the above equations are valid only when the acceleration remains constant throughout the motion. If the acceleration is not constant, these equations may not accurately describe the motion, and more complex equations or numerical methods may be required.

The equations of motion with constant acceleration are fundamental tools in physics and are used in a wide range of applications, such as calculating the trajectory of projectiles, analysing motion in free fall, understanding the behaviour of moving objects and solving problems related to kinematics and dynamics.