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Leading up to an epic battle, observers on Earth see two enemy spaceships approa

ID: 1769157 • Letter: L

Question

Leading up to an epic battle, observers on Earth see two enemy spaceships approaching from opposite directions: a Romulan ship is approaching at a speed of 0.82c from one direction, while a Klingon ship is approaching at a speed of 0.88c from the exact opposite direction.

(a) What is the speed of the Romulan ship as seen by the Klingons in their reference frame?

(b) The Klingons fire a missile at the Earth, which observers on Earth see approaching at 0.98c

What is the speed of the missile as seen by the Klingons in their reference frame?

Explanation / Answer

a) v' = (u+v)/(1 + u v/c^2) = (0.82+0.88)/(1 + 0.82*0.88)= 0.9875 c

b)

v' = (0.98-0.88)/(1-0.98*0.88)=0.7267 c