A firework of mass \(M=0.3 \mathrm{~kg}\) is designed to break into two fragments. It is launched with a velocity of magnitude \(v_{0}=60 \mathrm{~m} / \mathrm{s}\) in a direction that forms an angle of \(60^{\circ}\) with the horizontal plane. At the vertex of the parabola, \(M\) fragments into \(m_{1}=0.1 \mathrm{~kg}\) and \(m_{2}=0.2 \mathrm{~kg}\), and \(m_{1}\) has a velocity of magnitude \(m_{1}=90 \mathrm{~m} / \mathrm{s}\) in a perfectly vertical and downward direction. Calculate the velocity of the second fragment and the maximum altitude \(h_{2}\) that \(m_{2}\) reaches.