The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.
Problem
The nearest star. Proxima Ccntauri, is 4.22 light years from the Earth. Ignoring relative motion between the solar system and Proxima C vniauri, suppose that a .spacecraft accelerates Rom the vicinity of the Earth at 0.01 g (0.01 times the acceleration due to gravity at sea level) until it reaches one-tenth the speed of light, coasts until it is time to decelerate, and then decelerates at 0.0% until it comes to rest in the vicinity of Proxima Centauri. How long does the trip take? (Light travels at 3 × 108 m/s.)
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