In Galilean relativity, following intuition, it is assumed that the time interval between two events is...

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In Galilean relativity, following intuition, it is assumed that the time interval between two events is invariant, that is, At At'. Assuming two inertial frames of reference S and S', S' moving at a constant velocity v relative to S, the velocity being only along the xx' - axes: i. Write down the complete space and time transformation equations. ii. Derive the acceleration transformation equations. ii. Prove that length is invariant in this framework. Give a statement of the principle of classical relativity. [3 marks] [4 marks] [4 marks] [2 marks] iv. In Galilean relativity, following intuition, it is assumed that the time interval between two events is invariant, that is, At At'. Assuming two inertial frames of reference S and S', S' moving at a constant velocity v relative to S, the velocity being only along the xx' - axes: i. Write down the complete space and time transformation equations. ii. Derive the acceleration transformation equations. ii. Prove that length is invariant in this framework. Give a statement of the principle of classical relativity. [3 marks] [4 marks] [4 marks] [2 marks] iv.