Question

Show the distance between two point is invariant under Galilean transformation

Answer 1

Answer:

An inertial frame of reference is one in which Newton's Laws of motion are valid. It is a non-accelerated frame of reference. ... Thus Newton's Laws of motion are invariant under a Galilean transformation, that is, the inertial mass is unchanged under Galilean transformations.

Answer 2

Show the distance between two point is invariant under Galilean transformation:

Explanation:

• Galilean transformation is used to transform between the coordinates of two reference frames which differ only by constant relative motion.
• The inertial frame of reference is one in which Newton's Laws of motion are valid and do apply to motions.
• It is a non-accelerated frame of reference, Thus Newton's Laws of motion are invariant under the Galilean transformation meaning that the inertial mass is not changed at all under Galilean transformations