A block with mass m is sliding on a frictionless surface with initial velocity v0 moving to the right collides. It collides with a stationary block also of mass m, separated by a spring of spring constant k and unstretched length L. A small bit of glue is attached to the end of the spring so that the blocks stick to the spring, which begins to compress. a. Find the length of the spring at its maximum compression. b. Say t = 0 when the spring is initially at its maximum compression. Call the position of the first block at this time x1 = 0. Find expressions for the velocities and positions of each block as a function of time starting at t = 0. Give your expression in terms of m, v0, k, L, or a subset of those quantities.