An astronaut is being tested in a centrifuge. the centrifuge has a radius of 10 m and, in starting, rotates according to ? = 0.30t2, where t is in seconds and ? is in radians. answers must have units! (a) when t = 12.0 s, what is the magnitude of the astronaut's angular velocity? (b) when t = 12.0 s, what is the magnitude of the astronaut's linear speed? (c) when t = 12.0 s, what is the magnitude of the astronaut's tangential acceleration? (d) when t = 12.0 s, what is the magnitude of the astronaut's radial acceleration?