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Consider a spaceship with uniform acceleration g. If the ship starts from rest (with respect to...

Consider a spaceship with uniform acceleration g. If the ship starts from rest (with respect to an inertial system S imagined as the Earth)

a) find its speed at time t and the distance x traveled.
b) find the ship's own time in terms of t.
c) with respect to an observer in S, how long does it take for the ship to reach the velocity of v = 0.999? And how long does it take the ship's passenger from his point of view to reach that same speed?

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