Physics Formulas

Kinematics Formulas

This article focuses on kinematics formulas and their derivation. Kinematics refers to the study of the motion of points, objects, and group of objects while ignoring the causes of its motion. Kinematics refers to the branch of classical mechanics which describes the motion of points, objects, and systems comprising of groups of objects. Some experts refer to the study of kinematics as the “geometry of motion”.

What is Kinematics?

Simply speaking, kinematics refers to the study of motion. Kinematics certainly deals with any type of motion of any particular object. Kinematics refers to the study of objects in motion as well as their inter-relationships. Furthermore, kinematics is a branch of classical mechanics and it explains and describes the motion of points, objects, and systems of bodies.

In order to describe the motion, kinematics focuses on the trajectories of points, lines, and various other geometric objects. Moreover, it also focuses on the various deferential properties including velocity and acceleration. Also, there is heavy usage of kinematics in astrophysics, mechanical engineering, robotics, and biomechanics.

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Kinematics Formulas

There are four kinematics formulas and they relate to displacement, velocity, time, and acceleration. Furthermore, the four kinematic formulas are as follows:

1. A = vf–vit
2. vi+vf2 = Dt
3. D = vit + 12at2
4. vf^{2} = vi^{2} + 2Ad

Where,

D = displacement
a = acceleration
t = time
vf = final velocity
vi = initial velocity

Kinematics Formulas Derivations

First of all, one must calculate the slope of the diagonal line. Here, the slope would be a change in velocity and divided by a change in time. Furthermore, the slope would equal the acceleration.

a = v2–v1t2–t1

One must rewrite t2 – t1 as Δt

a = v2−v1Δt. This is certainly equation 1. One must rearrange it so as to get v2 on the left side. This would certainly express the formula in the slope-intercept form of a line.

v2 = v1 + aΔt