A Rocket,speeding Along Toward Alpha Centauri,has an Acceleration A(t)= At²

A rocket,speeding along toward Alpha Centauri,has an acceleration a(t) = At².Assume that the rocket began at rest at the Earth (x = 0) at t = 0.Assuming it simply travels in a straight line from Earth to Alpha Centauri (and beyond) ,what fraction of the trip to Alpha Centauri has the rocket travelled when it has travelled half the time necessary to reach the star?

A) 1/2
B) 1/4
C) 1/8
D) 1/16
E) 1/32

Correct Answer:

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