How fast must a spacecraft travel to reach the center of our Galaxy (26,000 ly away) in 100 tears "ship time"?
To determine the speed required for a spacecraft to reach the center of our galaxy (26,000 light-years away) in 100 years of "ship time," we can use the formula:
Speed = Distance / Time
First, let's convert the distance from light-years to miles. Since 1 light-year is approximately 5.88 trillion miles, the distance to the center of our galaxy would be:
26,000 light-years * 5.88 trillion miles/light-year = 152.88 quadrillion miles
Next, we need to find the ship's speed. However, the given time is in "ship time" and not Earth time. Assuming time dilation is ignored and 1 year in ship time is equal to 1 year in Earth time, we can use the given 100 years.
Speed = 152.88 quadrillion miles / 100 years
Therefore, the spacecraft would need to travel at a speed of 1.5288 quadrillion miles per year to reach the center of our galaxy in 100 years of ship time.