A spaceship leaving from the Earth and traveling to Barnard's Star, 5.9 light-years away (according to the Earth) arrives at the star 5.0 years after leaving Earth, according to observers on the spaceship. Find the spaceship's speed relative to the Earth. Hint: Write the distance in light-years and 1 lyr= 1 c.yr.
A spaceship leaving from the Earth and traveling to Barnard's Star, 5.9 light-years away (according to the Earth) arrives at the star 5.0 years after leaving Earth, according to observers on the spaceship. Find the spaceship's speed relative to the Earth. Hint: Write the distance in light-years and 1 lyr= 1 c.yr.
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Step 1: Concept of time dilation:
VIEWStep 2: Given quantities and the expression for time interval measured in the stationary frame:
VIEWStep 3: The expression for the speed of the shuttle with respect to stationary frame:
VIEWStep 4: Calculate the speed of the shuttle with respect to space frame
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