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1) Find the velocity of the spaceship at time [tex]t[/tex].

2) Find its acceleration at time [tex]t[/tex].

3a) Find the distance it has traveled at time [tex]t[/tex].

3b) Find the distance it has traveled just before it becomes purely energy.

4a) Find how much time has elapsed with respect to the spaceship at time [tex]t[/tex].

4b) Find how much time has elapsed with respect to the spaceship by the time it becomes purely energy.

This isn't homework, but I just wanted to check that my methods were correct.