Aneutral k meson at rest decays into two π mesons, which travel in opposite directions along the x axis with speeds of 0.828c. if instead the k meson were moving in the positive x direction with a velocity of 0.486c, what would be the velocities of the two π mesons?

and

Explanation:

To solve this problem, we need to use the following formula

Givens:

In same direction, we have

Notice, that we just replaced each given value, and solve basic operations.

In different direction,

As you can observe, to solve this kind of problem, you just neet to consider the right sign of each velocity, when they are in the same direction, they must have the same sign, but when they are in opposite direction, they must have different signs.

Therefore, the answers are and