The speed of the clock tick at the half rate of an identical clock at rest is 87% of the speed of light.
Time dilation :
[tex]\gamma = \sqrt\frac{1}{1 - \frac{v^2}{c^2}}[/tex]
where,
v = velocity
c = speed of light
c = 3 x 10⁸ m/s.
First we need something for 2 = √(a)
So we calculate 4 = 1 / b
knowing that we need a 4.
The answer is 0.25
when we try to calculate 1/b = 4.
We now understand that b = [tex]\sqrt{1 - \frac{v}{c}}[/tex]
Again. 1 - d = 0.25.
resulting in a d of 0.75.
We now have,
0.75 = [tex]\sqrt\frac{v}{c}[/tex]
√(0.75) = v/c,
v/c = 0.866
or 86.6% of the speed of light.
The speed of the clock tick at the half rate of an identical clock at rest is 87% of the speed of light.
To know more about speed :
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