(Solved): Problem 4.3 A continuum body has a motion defined by the equations x1=X1+2X2t2,x2=X2 ...

Problem 4.3 A continuum body has a motion defined by the equations $$\begin{array}{l}{x}_1=X_1+2X_2{t}^2,\\ x_2=X_2+2X_1{t}^2,\\ x_3=X_3.\end{array}$$ (a) Determine the velocity components at $$t=1.5$$ of the particle which occupied the point $$(2,3,4)$$ when $$t=1.0$$. (b) Determine the equation of the path along which the particle designated in part (a) moves. (c) Calculate the acceleration components of the same particle at time $$t=2$$.