Hi can you help me whith thant problem?see image 1. A mass weighing 64 pounds stretches a spring 0.32 foot. Themass is initially released from a point 8 inches above theequilibrium position with a downward velocity of 5 ft/s.(a) Find the equation of motion.(b) What are the amplitude and period of motion?(c) How many complete cycles will the mass have completedat the end of 37 seconds?(d) At what time does the mass pass through the equilibriumposition heading downward for the second time?(e) At what time does the mass attain its extreme displace-ment on either side of the equilibrium position?(f) What is the position of the mass at t = 3 s?(g) What is the instantaneous velocity at t = 3 s?(h) What is the acceleration at f = 3 s?(i) What is the instantaneous velocity at the times when themass passes through the equilibrium position?(j) At what times is the mass 5 inches below the equilibriumposition?(k) At what times is the mass 5 inches below the equilibriumposition heading in the upward direction?

Here we are going to find the differential equation and initial condition. Using Hooke,s law, 64 =…

1. A mass weighing 64 pounds stretches a spring 0.32 foot. The mass is initially released from a point 8 inches above the equilibrium position with a downward velocity of 5 ft/s. (a) Find the equation of motion. (b) What are the amplitude and period of motion? (c) How many complete cycles will the mass have completed at the end of 37 seconds?

1. A mass weighing 64 pounds stretches a spring 0.32 foot. The mass is initially released from a point 8 inches above the equilibrium position with a downward velocity of 5 ft/s. (a) Find the equation of motion. (b) What are the amplitude and period of motion? (c) How many complete cycles will the mass have completed at the end of 37 seconds?