Michale is decided to buy a ticket to go to space. After meticulously planning his journey, he travels inhis vessel at speed 7/10c from Earth to the nearby planet, Alfa-0 , 20 light-years away (as measured inthe common rest frame of Earth and Alfa-0). He spends a year (as measured in Earth- Alfa-0 frame) onthis foreign planet sharing stories of human history to aliens. Finally, he is readyto head home. His hosts, charmed by his friendliness and the stories of his wonderfulhome, give him their best space ship for the return voyage. In this new ship, he travelsat speed 95/100 c. Let W be Michael's departure from Earth (which we can set as the origin ofthe reference frame), X his arrival to the Alfa-0, Y his departure from the Alfa-0,and Z his arrival back to Earth.a. Draw the spacetime diagram from the rest frame of the Earth - Alfa-0system, indicating Michale's worldline, and the events, W, X, Y, Z. (A rough sketch willsuffice - do not worry about the angles.b. Find the distance, and the time interval between events W, and X inEarth-Sun rest frame. Find the distance, and the time interval between events Y , and Zin Earth-Sun rest frame. How long did Michale's trip take, from perspective of his motherbear, back on Earth? What are their (x, çt) coordinates of events W, X, Y, Z in this frame?c. Find the time interval between events W and X in Michale's first rest frame,using Lorentz transformations

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