Question

The nearest star to Earth is Proxima Centauri, 4.3 light-years away.

Part A

At what constant velocity must a spacecraft travel from Earth if it is to reach the star in 4.9 years, as measured by travelers on the spacecraft?

b: How long does the trip take according to Earth observers? in years

Answer 1

Lransform: From the Lorentz x = y +VE' that Given x=0 ť = 4.94 4.3 coy x 2 Ey with = = B, BE 4:3 4:9 → 42.5B? 18.49 → B1 = 0.6595 A So, V = 0.65950 For the time transform =Y (t'+ Vz' -xld . 4.9 IT = 1-0.65952 8] E = 6.5188 yo