A point-mass (m = 63.32 grams) is connected to a spring (stiffness k = 2500 dyne/cm) on a horizontal table. The non-stretched (i.e. equilibrium) position of the system is at x = 0. At time t = 0, the mass is stretched to x = 2 cm and let go. The system oscillates along the x-axis [neglect friction]:

1. What is the period of oscillation, in seconds.
2. Write down the equation of motion for the oscillating mass.
3. What is the speed of the mass at x = 1 cm.
4. How long does it take the mass to move from x = 0 cm to x = -1 cm.