The motion of a body is described by the mapping where t denotes time. Determine (a) the components of the deformation gradient F, (b) the components of the displacement, velocity, and acceleration...

The motion of a body is described by the mapping

where t denotes time. Determine

(a) the components of the deformation gradient F,

(b) the components of the displacement, velocity, and acceleration vectors, and

(c) the position (X1, X2, X3) of the particle in un deformed configuration that occupies the position (x1, x2, x3) = (9, 6, 1) at time t = 2 s in the deformed configuration.