ds? = -dt? +ezat dx2, is the two-dimensional space-time line element, a>0. 1. Compute the components of the Christoffel symbol. 2. Show the functions t(t) = {In(|C|Sinh(at)), X(t) = (Coth(at)), is the constant, solve the timelike geodesic equation in given space-time. 3. Show that e,(1,0) and e(0, e-at) define an orthonormal basis in given space-time. 4. Compute 4-vetor of time like geodesic given by functions in (2), Transform these components to a local inertial frame defined by the orthonormal basis defined in (3). 5. If a timelike geodesic given in part (2) is the worldline of a particle with mass m, what is the x- component of the 3-force acting on the particle, measured in the local inertial frame from part (3)