Three spaceships A,B,and C are in motion as shown in the figure.The commander on ship B observes ship C approaching with a relative velocity of 0.82c.The commander also observes ship A,advancing in the rear,with a relative velocity of 0.50c.What is the speed of ship C as measured by the captain of ship A?

Question

Quizplus · Accepted Answer

According to the relativistic velocity addition formula: V = (v + u)/(1 + vu/c^2), where v is the relative velocity between the observer and object, u is the velocity of the object, and c is the speed of light.

The captain of ship A observes ship B moving at a relative velocity of 0.50c. Let the velocity of ship C be u.

Relative velocity of ship C with respect to ship B = 0.82c (given)

Using the velocity addition formula, we get:

V = (0.82c + 0.50c)/(1 + (0.82c x 0.50c)/c^2)
V = (1.32c)/(1 + 0.41)
V = 0.94c

Therefore, the speed of ship C as measured by the captain of ship A is 0.94c.

Three Spaceships A,B,and C Are in Motion as Shown in the Figure.The