I # In an intertial frame of reference (i.e. a frame of reference undergoing zero acceleration), an object at rest stays at rest (or, similarly, keeps its initial velocity) unless acted upon by an outside force. ∑F=0⇔dvdt=0
Newtonian Spacetime differs from Relativistic spacetime in that time is considered an absolute (i.e. t′=t). Transformations between reference frames can be achieved with Galilean transformations. A particle traveling along the x axis in S at a constant speed u, has a speed u′ found by: u′x=dx′dt′=dx′dt=dxdt−v=ux−v
In Newton’s formulation of spacetime, time is an absolute; meaning that every observer experiences the same flow of time. Assuming an inertial frame with only translation across the x axis, an event P, can be translated between S and S′ by the following linear transformations: t′=t
Linear Motion # (under constant ˆa) v=at+v0