
fortfahren
to continue
To continue an action or speech that has already begun after an interruption.
Nach einer kurzen Pause fuhr der Professor mit seinem Vortrag fort.
After a short break, the professor continued with his lecture.
to continue / to drive away
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to continue
To continue an action or speech that has already begun after an interruption.
Nach einer kurzen Pause fuhr der Professor mit seinem Vortrag fort.
After a short break, the professor continued with his lecture.

to drive away
To move away from a place in a vehicle; to drive off.
Nachdem alle eingestiegen waren, fuhr der Bus fort.
After everyone had gotten on, the bus drove away.
'Fortfahren' (to continue / to drive away) is a separable verb. The prefix 'fort-' comes at the end in a main clause. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Fahren Sie bitte mit Ihrer Erzählung fort.
Please continue with your story.
The auxiliary verb in the perfect tense depends on the meaning. For 'fortsetzen' (to continue an action), you use 'haben'. For 'wegfahren' (to drive away, change of location), you use 'sein'.
Er hat mit seiner Arbeit fortgefahren.
He continued with his work.
In the meaning 'fortsetzen' (to continue), what is being continued is often stated. This is usually done with the preposition 'mit' (+ dative) or an infinitive clause with 'zu'.
Wir fahren mit der Diskussion nach der Pause fort.
We will continue with the discussion after the break.
When 'fortfahren' means 'wegfahren' (to drive away), it always refers to a vehicle. In this case, it is often used without an object or a prepositional complement.
Der Zug wartete auf das Signal und fuhr dann fort.
The train waited for the signal and then drove away.
to continue / move on
Weitergehen and fortfahren can both mean resuming an interrupted speech or action. weitergehen puts more emphasis on the continuing process. Fortfahren sounds more formal and often names the person carrying out the action as well as the activity they are continuing with.

Nach der kurzen Pause fährt die Rednerin mit ihrem Vortrag fort.
After the short break, the speaker continued with her presentation.
Nach der kurzen Pause geht der Vortrag weiter.
After the short break, the presentation continued.