plot[{piecewise[{{0,0<=t<=1},{((2/3)(t-1))^(3/2),t>=1}}],piecewise[{{0,0<=t<=1.5},{((2/3)(t-1.5))^(3/2),t>=1.5}}],piecewise[{{0,0<=t<=2},{((2/3)(t-2))^(3/2),t>=2}}]},{t,0,5}]