A block of mass 25 kg is attached to several springs as shown with constants k= 10 kN/m, k = 2.5 kN/m, k3 = 4.8 kN/m and k4 = 3.2 kN/m. The mass is displaced 200 mm downward from its equilibrium position and released with a downward velocity of 1.5 m/s. Answer the following regarding the system: (a) Determine the equivalent spring constant for the system. (b) Determine the natural frequency of the system in rad/s and Hz and the period in seconds. (c) Find the equation that describes the position of the block as a function of time and the amplitude of the motion, the maximum velocity and maximum acceleration. (d) What is the position, velocity, and acceleration of the block at time t=1 second? (e) Sketch a graph of at least one complete cycle of the motion on the graph below showing position vs time. Label the maximum and minimum values and the time. Note: g=9.81 m/s eeeeee eeeeee Feeeeee eeeeee