Question

explain gallilean transformations​

Answer 1

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GALILEAN TRANSFORMATIONS

The consequences research work of Galileo on the motion of the projectile led him to formulate transformations which later on ,were called after his name 'Galilean transformations'. These are used to describe the motions which are observed by two observers in two different inertial frames.

HIS MAIN RESULTS ARE AS FOLLOWS

✴ the motion of a particle projected at any angle maybe derived from the motion of the particle thrown vertically upward.

✴ if a particle is thrown straight up from a cart which is moving with uniform speed, the observer on the cart may see the particle moving up and down but the motion observed by an observer on the ground maybe described by superimposing the motion of the cart into that of projectile.

Answer 2

In physics, a Galilean transformation is used to transform between the coordinates of two reference frames which differ only by constant relative motion within the constructs of Newtonian physics. These transformations together with spatial rotations and translations in space and time form the in homogeneous Galilean group (assumed throughout below). Without the translations in space and time the group is the homogeneous Galilean group. The Galilean group is the group of motions of Galilean relativity acting on the four dimensions of space and time, forming the Galilean geometry. This is the passive transformation point of view. The equations below, although apparently obvious, are valid only at speeds much less than the speed of light. In special relativity the Galilean transformations are replaced by Poincaré transformations; conversely, the group contraction in the classical limit c → ∞ of Poincaré transformations yields Galilean transformations.

Galileo formulated these concepts in his description of uniform motion.[1] The topic was motivated by his description of the motion of a ball rolling down a ramp, by which he measured the numerical value for the acceleration of gravity near the surface of the Earth.

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