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// Ex1_4 Page:12 (2014)
clc; clear;
c = 3e+08; // Speed of light in vacuum, m/s
delta_tau = 2.6e-08; // Mean lifetime of an unstable particle at rest, s
d = 20; // Distance travelled by the unstable particle before it decays, m
v = poly(0, "v"); // Declare the speed variable
v = 1/sqrt(roots(d^2*v - (d/c)^2 - delta_tau^2)); // Speed of the particle in Lab frame from Time Dilation relation, m/s
printf("\nThe speed at which the unstable particle 20 m distance before decaying = %3.1e m/s", v);
// Result
// The speed at which the unstable particle 20 m distance before decaying = 2.8e+08 m/s
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