Q1). A simple harmonic system (energy is conserved, no losses due to friction) consists of a mass attached to a spring which is then free to oscillate in the horizontal direction. Given that m = 80 kg, k = 20 N/m, AMAX = 1m, and x(0) = 0.25 m complete the following tasks: %3D CA poidgei a). Construct the displacement time graph for two complete cycles b). Construct the velocity time graph for two complete cycles c). Construct the acceleration time graph for two complete cycles d). Use https://www.desmos.com/calculator to confirm your graphs in (a), (b) and (c). Please attach a hard-copy of the demos output fr each case e). Change the mass to 40 kg and then use desmos to re-draw the displacement, velocity and acceleration time graphs. What do you observe ? f). Change the spring constant k to 40 N/m and then use desmos to re-draw the displacement, velocity and acceleration time graphs. What do you observe ? g). How is acceleration related to displacement ? Please support your answer with a valid equation and explanation h). Does varying the amplitude of the initial displacement effect the period of oscillation. Please demonstrate your response using a graph(s).