The third equation of motion is one of the three fundamental equations of motion in classical mechanics. It relates the final velocity of an object to its initial velocity, acceleration, and displacement.



The third equation of motion is given by:

v^2 = u^2 + 2as

where:

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



The third equation of motion is derived from the first two equations of motion. The first equation of motion relates the final velocity of an object to its initial velocity, acceleration, and time, while the second equation of motion relates the displacement of an object to its initial velocity, acceleration, and time.

By using the first equation of motion to eliminate time and the second equation of motion to eliminate time and final velocity, we can derive the third equation of motion.

The third equation of motion can be used to solve problems involving constant acceleration. For example, if we know the initial velocity, acceleration, and displacement of an object, we can use the third equation of motion to calculate its final velocity.



The third equation of motion is used in many fields of science and engineering. It is used in the design of vehicles, such as cars and airplanes, to calculate the maximum speed and acceleration they can achieve.

It is also used in the design of roller coasters and other amusement park rides, to ensure that they are safe and enjoyable for riders.

In physics, the third equation of motion is used to study the motion of particles in various systems, such as atoms and molecules.



The third equation of motion is a fundamental equation in classical mechanics. It relates the final velocity of an object to its initial velocity, acceleration, and displacement. It is used in many fields of science and engineering to calculate the motion of objects and particles.