A 0.5 kg mass attached to a spring of force constant 8.0 N/m vibrating in simple harmonic motion with an amplitude of 10 cm. Calculate (a) the maximum value of its speed and acceleration, (b) the speed and acceleration when the mass is 6.0 cm from the equilibrium position, and (c) the time it takes the mass to move from x=0 to x=8.0 cm.