You are in a jet helicopter traveling horizontally at \(180 \mathrm{~m} / \mathrm{s}\) relative to Earth. At one instant you observe the light pulses from two lightning strikes, one directly ahead of the helicopter and one directly behind it.

(a) Can you say that the strikes occurred simultaneously in your reference frame?

(b) How would your answer change if you were instead hovering at rest relative to the ground when you observed the two pulses?

(c) How would your answer change if the pilot told you that the two strikes occurred at equal distances from the helicopter in the helicopter's reference frame?

(d) Would an observer on the ground agree with your answers to parts a, b, and c ?