Do accelerations add the same way velocities add in non-relativistic mechanics?

Question

Can you add and subtract constant accelerations?

Answer 1

Of course you can add velocities and accelerations as well. This is a useful concept in relative motion.

Relative velocity $$\vec v_{AB}=\vec v_{AC}+\vec v_{CB}$$

Relative acceleration $$\vec a_{AB}=\vec a_{AC}+\vec a_{CB}$$

But you should always have a clear idea about why you add these velocities or accelerations.^[1]