hit the gas

accelerator

Speed control mechanism

• pedalFoot-operated lever
• throttlePower flow controller
• revMotor rotation count

engine · ignition · clutch · gearshift · transmission · torque · horsepower · tachometer · dashboard · exhaust

speed up

Increase velocity or rate

• velocityDirected rate of motion
• surgeSudden powerful increase
• zoomRapid movement or magnification

race · bolt · hurtle · rocket · turbo · boost · momentum · thrust · burst · takeoff

rush

Quick sudden movement

• hurryMove with urgency
• hasteExcessive quickness
• expediteSpeed up a process

hustle · quick · immediate · pressing · deadline · crunch time · time-sensitive · critical · emergency · scramble

push forward

Proceed with determination

• advanceMove or progress forward
• propelForce into motion
• driveOperate a vehicle

spur · stimulate · kickstart · catalyze · energize · galvanize · rally · charge ahead · full steam · go-getter

• car talkpedal to the metal, step on it, floor it, burn rubber, peel out
• maximum effortall-out, full throttle, go all out, go hard, all in
• escapeescape, flee, run away, get away, flight
• travel idiomsin the same boat, miss the boat, end of the road, crossroads, smooth sailing
• hurry uphurry, hurry up, rush, hustle, move it