In the earths reference frame, a tree is at the origin and a pole is at x 30 km Lightning strikes both the tree and the pole at t 10 s The lightning strikes are observed by a rocket traveling in the x direction at 0 50c a What are the spacetime coordinates for these two events in the rockets refere...

Model S is the grounds frame and S is the rockets frame S moves with velocity v ...

In the earths reference frame, a tree is at the origin and a pole is at x

Question:

In the earth’s reference frame, a tree is at the origin and a pole is at x = 30 km. Lightning strikes both the tree and the pole at t = 10 μs. The lightning strikes are observed by a rocket traveling in the x-direction at 0.50c.
a. What are the spacetime coordinates for these two events in the rocket’s reference frame?
b. Are the events simultaneous in the rocket’s frame? If not, which occurs first?