Reference no: EM133691259

Problem: Thus, at any time t, in addition to the current position x(t) of the block, we need access to the previous position x(t - ?t) of the block. That is, we need to memorize the previous position of the block. To this end, add a member of type VECTOR3D called previousposition to the he ordinary Verlet integrator needs two positions, the current position and the previous position of the block, to evolve the position forward in time. Thus, to kickstart the process, we will need to supply x(0) (already provided) and x(?t). Using the initial conditions: x(0) = -1, v(0) = 0, a(0) = 1, derive (on paper) x(?t) via the equation x(?t) = x(0) + ?tv(0) + ?t2a(0)/2. (2) Note that in this process you have evolved the position by hand for the first step (i = 1 in the code). As part of the initialization for the ordinary Verlet integrator, in the code, identify x(?t) as the "position" member of the block, and x(0) as the "previousposition" member. Remember that position x is of data type VECTOR3D. Provide the relevant code modifications? class. Provide the relevant code modifications.