The man's constant speed is 2.99 x 10⁸ m/s.
The speed with which the light ray travels in a medium with negative pressure or in vacuum.
This speed is the greatest speed in the universe. No matter can have speed greater than the speed of light in vacuum.
Given is a man with 60 years to live wants to visit a distant Galaxy which is 160,000 light years away.
If a man travels with the speed of light, he needs 160000 years to reach the galaxy, but visits in 60 years.
According to the relativistic theory,
160000 = 60 /√[1 - (v² /c²)]
where v is constant speed need to find and c is the speed of light in vacuum = 3 x 10⁸ m/s
Substitute into the formula, we get
160000 = 60 /√[1 - (v² /(3 x 10⁸)²) ]
Simplifying further
v² /c² = (1 - 1.406 x 10⁻⁷ )
Then,
v/c = 0.999
v = 0.999 x 3 x 10⁸ m/s
v = 2.99 x 10⁸ m/s
Thus, the constant speed of the man is 2.99 x 10⁸ m/s.
Learn more about speed of light.
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