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## Homework Statement

A [tex] k^0 [/tex] meson at rest decays into a [tex] \pi^+ [/tex] meson and a [tex] \pi^- [/tex] meson, each having a speed 0f 0.85c. If the [tex] k^0 [/tex] Meson is traveling at 0.9c decays, what is the :

(i) The greatest speed that one of the [tex] \pi [/tex] mesons can have

(i) What is the least speed?

## Homework Equations

[tex] \gamma = \frac{1}{\sqrt{1-\frac{v^2}{c^2}}} [/tex]

[tex] v= v_0 \gamma [/tex]

## The Attempt at a Solution

I am not quite sure what to do. If it was just find a speed, I would use the Lorentz Equation for speed diffference given above (I think this is the relevant equation). but since they want a max. and a min. speed, I am not quite sure.

Any ideas would be most appreciated,

TFM