How would I go about making a vehicle ride cinematic?

Does your game feature AI actors at all?
Does your game feature vehicles on streets during gameplay?
Do the vehicles have people driving them?
If so, you need to build this anyway. If not, then you have to make a determination for how much you want the character to realistically drive the vehicle, versus how much development effort you want to spend.

Compared to producing a 10 minute cinematic that people will want to sit through, building some game AI to follow a path and turn a steering wheel is a fairly straightforward game development task.
10 minutes is forever in gameplay time. Presumably there is some affordance to stop and save every 30 seconds or so, so that the player can resume without having to sit through another 10 minute car ride, if they are interrupted because someone rings the doorbell or the power goes out or the baby needs changing or it’s curfew time or whatever other real-live reason imposes.

To build a level that lasts for a 10 minute cut scene, you can add traffic lights with long wait times. You can also drive a circuitous route among existing blocks, making sure long sight lines are blocked (offset blocks in one direction so there aren’t long sight lines in the other direction.) You can build a mountain with a winding path that goes upwards (or downwards) that doesn’t use a lot of area, but is long and slow because of the road conditions.