The phrase "whizzed past" is correct and usable in written English.
You can use it when you want to describe something rapidly moving in a particular direction. For example, "The sports car whizzed past me on the highway."
"That's the television camera!" Two lead cyclists whizzed past, a Chilean and a Bolivian.
On Seventh Avenue, cabs whizzed past; people rushed to the theater.
Clean Bandit have whizzed past Pharrell Williams and Pitbull to land their first No 1 single.
As I pedalled by one of the boys, a stone whizzed past my ear.
A zippy hour, with shake-'em-up tunes, that whizzed past.
At every exit sign that whizzed past, Kathleen Biggins wondered if she should turn off the Saw Mill River Parkway and call for help.
"We've had enough balls that have whizzed past the goal in the second half.
A guy in a pink bodysuit with huge, fake (I think) genitalia whizzed past on a unicycle.
Go out for jogs, and before you know it, the morning has whizzed past, and you have burnt some calories!! Listen to music!
A car whizzed past, honking its horn.
One bullet whizzed past Officer Jones's head.
