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Thread moved from the technical forums to the schoolwork forums

Two cars A, B move in the same direction with the constant speeds v, u (v < u) on a rectilinear OM circuit, specially built for Formula 1 cars. Assuming that at the initial moment (t = 0), the two cars are on the starting line O (x = 0) of the OM circuit and that, during t, the cars A, B travel the distances

in relation to O, the question is what is the interval time t

where

What do you think?

**x**_{1}= v t, x = u tin relation to O, the question is what is the interval time t

_{AB}between machines A and B.**My solution.**In the case of Formula 1 cars, the time between them is measured using transponders that transmit radio waves to timing loops placed on the circuit: when a car passes over a timing loop, a system will begin to time how long until it takes as the next car to arrive exact the same spot, when the time between the two cars is established - which can be constant or variable over a certain distance. In the case of machines A, B, the time t_{AB}between them is uniformly increasing and is measured from the moment t_{1}when machine B is at a distance x_{1}from the starting line O, until moment t when machine A is at the same distance x_{1}from O, so the time t_{AB}is given by the relation**t**_{AB}= t – t_{1}where

**t**_{1}= x_{1}/u = (vt)/u = (v/u^{2}) xWhat do you think?