Search in REST API?

Question

API

Suppose there is a service that stores information about cars, parts from which cars are made, etc. (conditionally, for example).
API resources:
/cars/ - list of cars;
/cars/{0}/ - information about a specific car;
/cars/{0}/details/ - list of car parts;
/cars/{0}/details/{0}/ - information about a specific car detail.
The service should be able to search for cars by the characteristics of parts.
For now, I'm thinking of implementing it like this: /cars/?detail_name=x.
Details can also have child resources, while car search should work with them too (/cars/?detail_name=x&detail_child_resource=y)
How to implement this correctly to comply with REST?