What is Motion ?? and tell all the derivations !
Answers
Motion, in physics, change with time of the position or orientation of a body. Motion along a line or a curve is called translation. Motion that changes the orientation of a body is called rotation. In both cases all points in the body have the same velocity (directed speed) and the same acceleration (time rate of change of velocity). The most general kind of motion combines both translation and rotation.All motions are relative to some frame of reference. Saying that a body is at rest, which means that it is not in motion, merely means that it is being described with respect to a frame of reference that is moving together with the body. For example, a body on the surface of the Earth may appear to be at rest, but that is only because the observer is also on the surface of the Earth. The Earth itself, together with both the body and the observer, is moving in its orbit around the Sun and rotating on its own axis at all times. As a rule, the motions of bodies obey Newton’s laws of motion. However, motion at speeds close to the speed of light must be treated by using the theory of relativity, and the motion of very small bodies (such as electrons) must be treated by using quantum mechanics.
Derivation of Equation of MotionThe equations of motion can be derived using the following methods:Derivation of equations of motion by Simple Algebraic MethodDerivation of equations of Motion by Graphical MethodDerivation equations of Motion by Calculus MethodIn the next few sections, the equations of motion are derived by all the three methods in a simple and easy to understand way.