Accelerate

To increase the speed

EX: You need to accelerate to pass the car ahead of us.

Merriam-Webster Online Dictionary
accelerate (verb)
transitive verb
1.
to bring about at an earlier time - accelerate their departure
2.
to cause to move faster - accelerated his steps , also to cause to undergo - acceleration
3.
a) to hasten the progress or development of - accelerate our efforts
b) - increase accelerate food production
4.
a) to enable (a student) to complete a course in less than usual time
intransitive verb
b) to speed up (as a course of study)
1.
a) to move faster gain speed - the car slowly accelerated
b) - grow increase inflation was accelerating
2.
to follow an educational program - accelerated