"accelerate more" is correct and usable in written English.
It can be used when you want to emphasize the need to increase the speed or rate of something. For example, "We need to accelerate more if we want to meet our deadline."
This is however the most powerful car of the lot and it is possible for some of the less aggressive drivers to push the accelerator less when driving a car which can accelerate more.
A listed vehicle might be able to do a few deals and accelerate more easily.
As that becomes clear, the customer defections will accelerate more, as the last holdouts adjust.
Electricity let trains accelerate more quickly, a decided amenity for short-haul commuter service.
Mr. Schröder also benefited from his decision to accelerate more than $20 billion worth of tax cuts planned for 2005.
Electrification is favoured by the rail industry because electric-powered trains are lighter than their diesel-powered counterparts and can accelerate more quickly.
It rides more comfortably and accelerates more powerfully than its predecessor.
Average house prices growth accelerated more than expected in December to experience its biggest monthly rise in eight months.
Inflation in China accelerated more than expected in November as food costs increased at the fastest rate in almost two years.
The Massachusetts plan didn't do anything about medical costs, however, and, with layoffs accelerating, more people require subsidized care than the state predicted.
Because the longer bow's more massive arms accelerated more slowly, a longer bow imparted kinetic energy to the string and arrow at a lower velocity.
