The standard equation for the position s of a body moving with a constant acceleration a along a coordinate line is s = a/2 t^2 + v_0 t + s_0, where v_0 and s_0 are the body’s velocity and position at time t = 0. Derive this equation by solving the initial value problem Differential equation: d^2s/dt^2 = a Initial conditions: ds/dt = v_0 and s = s_0 when t = 0.
