(Include full solutions)You and your friendPaul want to have a bet on how fast it can take to reach anotherfriend Peter who is near the star Sirius B. Knowing that the starhas a proper length of 8.6 light years from Earth, Paul thinks thatsince the maximum speed of your ship is 70% that of the speed oflight, it will take about 9 years to get there. However, you reasonthat around 12 years will make more sense.
a)Â Â Â Â Â Whois right from the perspective of you and Paul?
b)Â Â Â Â Â Whenyou reach Peter and explain the bet, he disagrees about who wasright, why is that?