Final answer:
To find the velocity at which the UFO rocketship is moving relative to the Earth, we need to use the relativistic length contraction formula. However, the value of the observed length L is needed to perform the calculation.
Step-by-step explanation:
To calculate how fast the UFO rocketship is moving relative to the Earth, we need to use the formula for relativistic length contraction, which is expressed as:
L = Lo √(1 - v²/c²)
where:
- L is the contracted length as observed by an Earth-bound observer,
- Lo is the proper length of the spaceship,
- v is the velocity of the spaceship relative to the observer,
- c is the speed of light in a vacuum.
To find the velocity v, we can rearrange the formula to:
v = c √(1 - (L/Lo)²)
Assuming we are given the observed length L, we can substitute it along with the proper length Lo and the speed of light c into this equation to solve for the spaceship's velocity v.
If the proper length of the UFO rocketship is 3475 kilometers and its observed length is L, we'd need the value of L to compute the speed. Without the observed length value, we cannot calculate the rocketship's velocity.