Answer: The third equation of motion relates the final velocity (v), initial velocity (u), acceleration (a), and displacement (s) in a straight-line motion and is given by v2 =u2 + 2as.
The third equation of motion, often referred to as one of the SUVAT equations, is a fundamental equation in classical mechanics that describes the relationship between an object’s initial velocity (u), final velocity (v), acceleration (a), and displacement (s) in one-dimensional motion. The equation is as follows:
v2 = u2 + 2as
Here’s a detailed breakdown of the terms in the equation:
- v is the final velocity of the object.
- u is the initial velocity of the object.
- a is the constant acceleration of the object.
- s is the displacement (change in position) of the object.
This equation is derived from the equations of motion using calculus and is particularly useful when the time variable is not explicitly known or required. It allows for the calculation of the final velocity of an object after a certain displacement, given its initial velocity, acceleration, and the distance it has traveled.