What Are the Maximum and Minimum Speeds of π Mesons from a Moving K_0 Decay?

[TFM]

Homework Statement

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

(i) The greatest speed that one of the $$\pi$$ mesons can have

(i) What is the least speed?

Homework Equations

$$\gamma = \frac{1}{\sqrt{1-\frac{v^2}{c^2}}}$$

$$v= v_0 \gamma$$

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

 

[Vuldoraq]

Hey TFM,

Take a look at my post, 'Special relativity velocity tansforms', I misspelt transforms in the post name. Ooops, .

Vuldoraq

 

[TFM]

Yeah, I did see that, but thanks anyway,

TFM