The phrase "a different track of" is correct and usable in written English.
It can be used when discussing an alternative approach, perspective, or direction in a conversation or analysis.
Example: "After considering the initial proposal, I think we should explore a different track of thought to address the issue more effectively."
Alternatives: "a different approach to" or "an alternative path of".
Come January, regardless of the state of affairs in Syria, we will also know if the United States will continue down the path of engaged, pro-active and effective relations with the United Nations, or set out on a different track of hostility, parsimony and withdrawal from the world body, as advocated by the likes of John Bolton and Ileana Ros-Lehtinen, close advisers and friends of Mitt Romney.
Each national banking system and each class of bank within it has a different track record of default and of recovering loan losses, and faces different operational and legal risks.
The videos, titled Films of Innocence, will each represent a different track from Songs of Innocence.
The Times took a different track, accusing American shipbuilders of slashing prices to an obscene degree, and accusing the government of exerting undue diplomatic pressure to obtain the contracts.
We argue, therefore, that as CEE countries for quite a long period were characterised by a particular configuration of cultural tradition, social structure and social institutions, their societies underwent a different track in the formulation of gender attitudes then the Western European societies did.
Although as his former speechwriter I have always thought he was a politician who would be at his best in boom times, he seized on austerity to turn the nation down a different track after the bloated binge of the Gordon Brown years.
Each hypothesis set can be treated as a different tracking sub-problem, as one of the ways of controlling the combinatorial explosion of mobile hypotheses.
This iOS application can help you think positively as it helps you set goals in different "tracks" of your life, such as helping you improve your confidence.
"Silverstone is a very different track in terms of speed range.
This paper therefore focuses on a laboratory study of the mechanical performance of a number of different track sections, assessing the effect of using various types of elastic elements with varying properties, various types of sub-ballast, and different thicknesses of ballast layer.
When the 12" single (which included both versions) was released in '92, the whole concept of remixing by borrowing very few elements of the original and otherwise creating an almost entirely different track underneath was unheard of at the time.
