Consider a body with mass that is accelerated using a constant force acting on the body. Let the body start at rest, such that the momentum for . The force is given by . So if the force is constant, then the momentum is simply linear in time, thus . As the momentum is given by , we obtain the equation

(1) ,

where is the unit vector in the direction of the force. Then

(2)

So

(3)

Note that

(4)

The travelled path of the body is then given by

(5)

Thus – the Classical result. The motion of an accelerating body, due to a constant force; the result:

(6)

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These are the classical equations of hyperbolic motion, it is clear that the Rybzyck idiot doesn’t know how to integrate an ordinary differential equation.

Looks complicated! How would the aforementioned be used to work out the time of flight of a relativistic electron? The simple answer is: distance x momentum/energy for ALL speeds.