you cannot divide m/s by m/s and have a result in anything
other than m/s.
1 m/s^2 / 10 m/s^2 = 0.01 m/s
you certainly cannot end up with a result that is simply
an amount of time.
the result would be given in m/s
you can drop the m (meters) and only use the seconds.
1 s^2 / 10 s^2 = 0.1 s^2
or
1 s / 100 s = .01 s
so we have dropped the velocity from the equation.
and we only kept the time.
we now subtract the result of .01 s from the number 1
so we must also drop the time from the equation in order to
subtract.
1 - .01 = .99
we then find the square root of the number .99 ?
0.99498743710662 ?
what could this number possibly represent?
we have dropped the units of distance
we have dropped the units of time
if we do associate this number with anything then
we must associate this number with a velocity.
we must give the result in m/s (distance / time)
so the time dilation equation is an equation that is
used to solve for velocity it is not used to solve
for time.
