its a four part question but the first part has me stuck:(adsbygoogle = window.adsbygoogle || []).push({});

the question:

A particle of mass m is accelerated from rest by a constant force F along a straight line for a duration of time t. Use relativistic mechanics unless explicitly stated otherwise. Also remember that the definitions of work and impulse are unchanged by special relativity.

(a) What are the kinetic and total energies of the particle as functions of the particleâ€™s position? Give some justification for your answer.

so i need the distance (which i am going to label "x") in terms of the kinetic energy

is there an relativistic equation or formula withe "x" already as a function of the kinetic energy?

or is there a way to do this, given there is a formula for the velocity in relativity suing einsteins theory by somehow putting the velocity as a function of the distance relativistically and subbing it in?

im not sure how to go at this one at all, i will have another try, but it would help if there was such a formula

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# Relativity, kinetic energy

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