What are the three equations of motion ?

The three equations of motion describe the relationship between an object's displacement, velocity, acceleration, and time. These equations are fundamental in physics, especially in kinematics. Here’s a breakdown of each equation:

First Equation

The first equation relates initial velocity, final velocity, acceleration, and time:

v = u + at

• v = final velocity
• u = initial velocity
• a = acceleration
• t = time

Second Equation

This equation connects displacement, initial velocity, time, and acceleration:

s = ut + (1/2)at²

• s = displacement
• u = initial velocity
• t = time
• a = acceleration

Third Equation

The third equation links final velocity, initial velocity, acceleration, and displacement:

v² = u² + 2as

• v = final velocity
• u = initial velocity
• a = acceleration
• s = displacement

These equations are essential for solving problems involving linear motion and help in predicting an object's future position and velocity under constant acceleration.