A fictional subatomic particle, the solarino, is initially at rest. It then explodes into three particles: two lightons and a heavyon. The inertia of a heavyon is twice the inertia of a lighton. In the explosive separation, the three particles can be kicked out in either direction along a straight line, but the internal energy of the solarino is always entirely converted to the kinetic energy of the three particles.

(a) Draw the paths of the three particles for the case in which the heavyon has the greatest possible speed.

(b) Draw the paths of the particles for the case in which one of the lightons has the greatest possible speed.