Suppose that there is a spaceship that leaves the solar system at a velocity of v = (3/5)c, headed for a planet that is 20 c • yrs away. Assume that the Sun and the planet are both at rest and that their clocks have been synchronized such that both read zero when the spaceship leaves. Both the Sun and the ship's clocks read zero when the two separate. According to the ship's frame, what should the ship's clock read when the ship and the star meet?

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Suppose that there is a spaceship that leaves the solar system at a velocity of v = (3/5)c, headed for a planet that is 20 c • yrs away. Assume that the Sun and the planet are both at rest and that their clocks have been synchronized such that both read zero when the spaceship leaves. Both the Sun and the ship's clocks read zero when the two separate.

According to the ship's frame, what should the ship's clock read when the ship and the star meet?

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Introduction:

Einstein's special theory of relativity states that speed of light is a constant in all frame of references. Due to this speed being constant the concept of relativity was applied in various domains of motion. The consequence of this special theory of relativity was time dilation, length contraction, etc. It was found that for object traveling in space the time passes slowly as for that which is in rest frame.

This time dilation is given as

t=to1-v2c2

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