Let the motion of a continuum be given in component form, with coefficients having requisite units to ensure dimensional consistency, by the equations x1=X1+X2t+X3t, X2 X2+X3t+Xt, x3 X3+Xt+X2t2. (a) Show that J 0, and solve for the inverse equations. (b) Determine the velocity and acceleration (1) at time t = 1 for the particle which was at point (2.75, 3.75,4.00) when t=0.5. (2) at time t=2 for the particle which was at point (1,2,-1) when t=0.