Answer:
the speed at which a moving clock lose 4,5ns in 1.0 day is 98.58 m/s
Explanation:
Let's first find the relation for the time dilation by using the formula:

Making
the subject of the formula, we have:

Number of day(s) = 1
1 day in seconds = 24 × 60 × 60
= 84600 seconds



From the above equation, if we apply binomial expansion to it, we have the following,

⇒
So;





where ;






Therefore, the speed at which a moving clock lose 4,5ns in 1.0 day is 98.58 m/s