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Time constants are used in order to define time.
Without any use of any time constants, we would not have any way of telling the time. We would not be able to have a calendar. The world would grow towards chaos. At least the world as we know it.
Time constants today define gamma radiation, x-rays, color of light, radio waves, computer speed, sound waves, seconds, minutes, hours, days, weeks, months, years, decades, centuries, millennium and much more that I can't think of at the moment.
Time constants today define our way of living.
We relate many things to time. Some of these are energy, speed and distance.
Time constants define degradation of various materials.
On a large scale, they define the universe itself.
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Is distance and time proportional in velocity?
Not sure what you mean exactly. At constant velocity, the distance travelled is proportional to the time.
Is tau a constant?
Yes, (greek letter 'tau') is used to represent the mathmatical constant exactly equal to 2π (2pi). is also a time constant sometimes referred to as the 'RC time constant'.
What is the use for a distance time graph?
You graph showing how far you travel in that time. If it's a constant speed, it keeps a constant top right direction, when stopped, it goes flat
How is it that acceleration due to gravity is EXACTLY thirty-two feet per second squared?
That it is exactly 32f/sec^2 not sure. That it is constant depends on the Earths' mass which is fairly constant.
How long will it take to walk 13 miles?
depends on how long you walk and at what constant rate of time you are going if you use Rate*time=Distance.
