(a) The maximum velocity of the ends can be determined using the equation:

v_max = A * ω

where A is the amplitude and ω is the angular frequency given by

ω = 2πf

Substituting the given values, we have:

v_max = 0.5 mm * (2π * 440 Hz) = 2828 mm/s

(b) The maximum acceleration of the ends can be determined using the equation:

a_max = ω^2 * A

Substituting the given values, we have:

a_max = (2π * 440 Hz)^2 * 0.5 mm = 3.12 x 10^7 mm/s^2

Note: The units for velocity and acceleration should be consistent, in this case mm/s and mm/s^2 respectively