An astronaut is being tested in a centrifuge. The centrifuge has a radius of 9.6 m and, in starting, rotates according to ? = 0.34t^2, where t is in seconds and ? is in radians. When t = 5.1 s, what are the magnitudes of the astronaut's
(a) angular velocity,
(b) linear velocity,
(c) tangential acceleration, and
(d) radial acceleration?