
antreiben
to motivate
To motivate, push, or spur someone on to do something or to work faster.
Der Trainer treibt die Mannschaft an, ihr Bestes zu geben.
The coach motivates the team to give their best.
to drive / motivate
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to motivate
To motivate, push, or spur someone on to do something or to work faster.
Der Trainer treibt die Mannschaft an, ihr Bestes zu geben.
The coach motivates the team to give their best.

to drive
To supply a machine or vehicle with energy and set it in motion.
Ein starker Dieselmotor treibt das Schiff an.
A powerful diesel engine drives the ship.

to wash ashore
To be driven by water or wind to a place, usually to a coast or shore.
Am Strand sind viele Muscheln und Algen angetrieben.
Many shells and seaweed have washed ashore on the beach.
'Antreiben' (to drive/motivate) is a separable verb. The prefix 'an-' comes at the end in a main clause; in subordinate clauses and in the infinitive, it is attached to the verb. In the 'zu' construction, 'zu' comes between the prefix and the verb.
Der Motor treibt das Rad an.
The motor drives the wheel.
The verb consists of the prefix 'an-' and the base verb 'treiben' (to drive). 'Treiben' means to set something in motion or to push/drive something. The prefix 'an-' strengthens the idea of initiating something or pushing it in a certain direction.
Was treibt dich an, jeden Morgen so früh aufzustehen?
What drives you to get up so early every morning?
The perfect tense is formed with 'haben' (to have) when it is about motivating people or operating machines. When something is washed up onto a coast, you use the auxiliary verb 'sein' (to be).
Der Kapitän hat das Team die ganze Zeit angetrieben.
The captain pushed the team on the whole time.
When you want to express what someone is motivated or driven to do, an infinitive construction with 'zu' (to) often follows. The pattern is: jemanden (accusative) antreiben, etwas zu tun (to drive/motivate someone to do something).
Die Konkurrenz treibt uns an, unsere Produkte ständig zu verbessern.
The competition motivates us to constantly improve our products.
In this meaning, 'antreiben' (to drive) is almost always used in a technical context. Typical subjects are engines or energy sources; typical objects are vehicles or machines. It is often used in the passive.
Das Auto wird von einem Elektromotor angetrieben.
The car is driven by an electric motor.
This meaning describes a passive process. The subject is an inanimate object that is moved by water or wind. The acting force (e.g., the current) is often not mentioned.
Nach dem Sturm sind viele Algen am Ufer angetrieben.
After the storm, a lot of seaweed washed ashore.
to operate / pursue
Betreiben and antreiben can both occur in connection with a machine running, but they refer to different aspects. Betreiben means using and keeping a facility running, while antreiben refers to supplying energy and setting something in motion. Betreiben fits the person responsible for or using it; antreiben fits the motor or energy source.

Ein Elektromotor treibt die Anlage mit erneuerbarer Energie an.
An electric motor drives the facility using renewable energy.
Die Stadt betreibt die Anlage und kontrolliert sie jeden Morgen.
The city operates the facility and inspects it every morning.