Two arrows in the domain of vedana

I am familiar with the simile of the two arrows, i.e. an unenlightened being experiencing physical pain (first arrow that hits) will grasp for the release from that pain and thus be hit by a second arrow. Since feelings are conditioned (anicca) like the body, there must be a "first arrow" made of feelings/vedana. So i guess, even the buddha himself had to experience sadness. But there was no grasping towards the a different state of feeling. That also goes for painful mind objects like "the concept of your mother's death", which might give rise to suffering. In the past I thought that an arahant has to be free from bad feelings, but i guess now that this is not the case at all. This did not come out as a question, which this site is for. Anyways, what do you think?