Collocations for accelerate - verb

hard, quickly
smoothly
The runners accelerated smoothly around the bend.

suddenly
away (esp. BrE)
The car purred into life and accelerated away.

dramatically, greatly, rapidly, sharply
The epidemic is accelerating dramatically.

significantly

Accelerate is used with these nouns as the subject:
car

Accelerate is used with these nouns as the object:
decline, development, effort, growth, implementation, innovation, integration, introduction, process, progress, progression, rate, recovery, reform, transformation