Spaceship $A$ moves away from Earth at a speed of 0.800$c$ (Fig. P 26.25 ). Spaceship $B$ pursues at a speed of 0.900 c relative to Earth. Observers on Earth see $B$ overtaking $A$ at a relative speed of 0.100$c .$ With what speed is $B$ overtaking $A$ as seen by the crew of spaceship $B$ ?
Ah, speed off. Be with respect to a is given by Ah, speed off. Be with respect to a is equal to well, speed off. Be with respect to hey minus Ah, speed off, eh? With respect to Billy. Well, e here stands for art and be hard to spaceships divided by one minus. Uh, we b e times we a e divided by C square. Let's substitute values. Well, speed off. Uh, special be with respect to the birth is 0.90 times the speed of light minus and ah, speed off spacey and with respect to the earth is 0.80 times the speed of light, divided by one minus 0.90 times the speed of light. Multiply by, uh, is your point 0.80 times speed off light divided by C square and solving these we get a lost you off be with respect to a is equal to zero point free 57 times the speed of light