vorwärts
forward
Indicates movement in the direction that lies in front of you.
Gehen Sie bitte zwei Schritte vorwärts und bleiben Sie dann stehen.
Please take two steps forward and then stop.

forward
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forward
Indicates movement in the direction that lies in front of you.
Gehen Sie bitte zwei Schritte vorwärts und bleiben Sie dann stehen.
Please take two steps forward and then stop.

The word is made up of 'vor' (in front/before) and the ending '-wärts' (-ward). The ending '-wärts' always indicates a direction. You can also find it in words like 'rückwärts' (backward), 'aufwärts' (upward), or 'abwärts' (downward).
Der Aufzug fährt nur aufwärts, nicht abwärts.
The elevator only goes upward, not downward.
In the figurative meaning 'to make progress', 'vorwärts' (forward) is very often combined with the verb 'kommen' (to come). The phrase 'vorwärts kommen' means that you are making progress in a task or project.
Ich lerne jeden Tag Vokabeln, um mit meinem Deutsch vorwärts zu kommen.
I learn vocabulary every day in order to move forward with my German.
You can tell whether the literal or figurative meaning is intended from the verb. Verbs of movement like 'gehen' (to go/walk) or 'fahren' (to drive/go) point to direction. Verbs like 'kommen' (to come) or 'bringen' (to bring) point to progress.
Fahr bitte noch ein Stück vorwärts, dann haben wir mehr Platz.
Please drive a little farther forward, then we'll have more space.
back
'zurück' and 'vorwärts' describe opposite directions of movement. 'zurück' means that you move toward the starting point or to a previous place. 'vorwärts' means that you move in the direction that lies in front of you. The contrast is especially clear with paths, vehicles, or body movements. Put simply: 'zurück' goes backward or back to the beginning, while 'vorwärts' goes forward.

Der Fahrer rollt mit dem Auto vorsichtig vorwärts.
The driver carefully rolls the car forward.
Nach dem Spaziergang gehen wir langsam zum Parkplatz zurück.
After the walk, we slowly go back to the parking lot.