Camera Clipping Distance
One possibility is to animate the Camera Clipping Start Distance.
In Blender, the clipping distance defines the area of the scene that is visible to the camera. So, for example, in this instance shown here, everything in the scene between 0.001 distance units and 5.0 units from the camera is visible to the camera, and anything beyond 5 will be clipped out of view (i.e. not visible):
NOTE: You can toggle the clipping distance indicator's visibility on & off here:
Camera Object properties window -> Camera tab -> Display section -> toggle Limits
These Start and End values/distances can be changed so that part of your car (and any other objects in the scene) will not be visible to the camera. For example, you can increase the Start clipping distance to be halfway into your car, like this:
NOTE: This model of the car is not one mesh, but many separate meshes, so any objects in your scene will get clipped from view. In addition, object modifiers are not effected in any way by camera clipping.
Animating Clipping Distance
In addition, the Start and End values can be animated:
Set the green frame cursor to the beginning of the animation time. Here, it is set to frame 1:
Now position the mouse cursor over the Camera Clipping Start value and press
I to set a keyframe:
You should now see there is a yellow line at frame 1 indicating a keyframe is set there.
Now do the following:
Position the frame cursor at the end of your animation
Increase the Clipping Start value so enough of your car is not visible
Position the mouse cursor over the Camera Clipping Start value and press
I again to set a keyframe
Now if you play your animation, or render your animation, you will see the car and any other objects in the scene get cut in half:
Limitations of this Technique
Unfortunately, there are at least 2 limitations of this technique that might make it unsuitable for your purposes:
This technique is very easy to animate if your camera is stationary during the clipping animation, but if you start to move the camera around, the clipping distance will still effect the scene, so it may be more difficult to control exactly how much of the car is visible and how much is clipped:
Since the clipping of the car's visibility is based on distance from the camera itself, you will only be able to hide parts of the car directly facing the camera. So, you will only be able to use this technique to render 1 of the 4 views you showed in your question: