Two observers, A on Earth and B aboard a spacecraft traveling at a speed of 2.00 × 108 m/s, synchronize their watches to the same time when the spacecraft passes by Earth.

(a) How much time must pass, according to A, before the time difference between their watches reaches 1.00 second?

(b) From A's perspective, B's watch appears to run slower. From B's perspective, does A's watch appear to run faster, slower, or maintain the same time as B's watch?

1
\(t = 3.93 \, \text{seconds}\)
2
\(t = 3.63 \, \text{seconds}\)
3
\(t = 3.43 \, \text{seconds}\)
4
\(t = 3.23 \, \text{seconds}\)

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