Subject (n). Subject (v). Object (n). Object (v). Eject. Inject. Interject. Reject. Project. Abject. Conjecture. Dejected. Trajectory. Adjective.
iacere “to throw” (from PIE root *ye- “to throw, impel”)

“Subject” (v) would be to “throw under,” while as a noun it would be one who is “under” someone or something, or a topic under discussion. On the other hand, it can also imply agency, e.g. being the “subject” of your own story, and violating someone’s subjectivity means they’ve been “objectified,” which is bad, but it would presumably be doing them a favor by removing them from a subjective situation. Go figure.
“Object” (n,v) would mean to “throw up or against,” just as something is “thrown” upon our attention, i.e. a phenomenon, and “to object” is to throw up an impediment to an argument. One can object without being objectionable, just as one can occasionally make an assholish move without actually being an asshole.

“Reject,” clearly, means to “throw back,” and when you’re “dejected” you’re feeling low, like a piece of trash, much as you would if you lived in “abject” poverty, with everything gone.
“Conjecture” would be to “throw together,” rather than merely “throwing something out there,” which could more accurately be called “jecturing.”
So there you have it.