Answer:
0.088 seconds
0.0880000273785 second
0.08800054757 seconds
Explanation:
In the question it is given each century adds 1 ms to a day due to the slowing rotation of the Earth
In 88 centuries the length of the first day of the year will be
88 × 1 = 88 ms = 0.088 seconds
1 ms = 1 century
1 century = 100 years × 365.25 days
⇒1 ms = 36525 days
[tex]1\ day=\frac{1}{365.25}=2.7378\times 10^{-5} ms=2.7378\times 10^{-8} s[/tex]
Sum of the gain on the first day would be
0.088 + 2.7378×10⁻⁸ = 0.0880000273785 second
Sum of the gain on the second day would be
0.088 + 2.7378×10⁻⁸+2.7378×10⁻⁸ = 0.08800054757 seconds
