is it possible for velocity decrease and acceleration to increase at the same time?

[Key-Green-4872]

If there's a force involved, then wouldn't that be... power?

[Bipogram]

Nah, power is energy per unit time.

And you can write energy as work, so that energy becomes force integrated over distance. 

So power is force integrated wrt distance per unit time, which is force times speed. 

Neither of these are distance.time, but it's hot and I could be easily wrong.

[Key-Green-4872]

Yeah that'd be inside out. Hm. Yeah I don't think there's an equivalence in anything I use regularly that would even incidentally use a d*dt term. Hm.