The phrase "accelerates towards" is correct and usable in written English.
It can be used in contexts where you want to describe something that is increasing in speed as it moves in a specific direction.
Example: "The car accelerates towards the finish line, leaving the other competitors behind."
Alternatives: "speeds up towards" or "moves rapidly towards".
But he had turned his back by the time it veers over the central line and accelerates towards him.
An armoured vehicle accelerates towards the fence then comes to a halt, spitting out a masked policeman who aims his automatic rifle towards the retreating crowd.
He punches out a wedge, nearly holing for birdie, but the ball races on past and eventually rolls off the green and accelerates towards the blue yonder.
And as the show accelerates towards its giddy climax, musical director Paul Herbert and choreographer Alistair David seem to inspire one another in accordance with the general principle that anything he can do, I can do better.
And Davidson's delivery and infectious amusement are engineered to crank laughter, as he accelerates towards another old-as-Arthur's-seat punchline: "Book the wife in on Monday morning!"; "I beg your pardon, madam, but I can't think of anyone who'd fuck you twice!".
Whatever, Djokovic is in danger of leaving our own Andy Murray floundering in his slipstream as he accelerates towards his goal of becoming the first world No 1 since Andy Roddick in February 2004 without a first name beginning with R. Murray and Djokovic, just a week apart in age, are friends and occasional practice partners.
This year's theme is "Africa Fit for Children: A Call for Accelerated Action Towards Child Survival".
"Anderson, you cunt," he roared as he accelerated towards Bruce.
They are not just in a state of denial but actively accelerating towards a brick wall".
From inside his own half, the Chelsea player accelerated towards goal as Canada backed off.
But the alternative Iran smoothly accelerating towards a bomb is worse.
