Project 1: A device for simulating conditions in space allows rotations abou; thre orthogonal axes as illustrated in the figure. At this instant, the astronaut is moving as shown with a velocity v= 5.0 fVsec and an acceleration a= 32.0 fisec?, both relative to the capsule. Use the method of multiple- rotating-coordinase systems, with at least two rotating coordinate systems, to determine for the instant pictured: (a) the inertial velocity of the astronaut's head; (b) the inertial acceleration of the astronaut's hoad: given the data in the figures. v, - 5.0 ft/sec a = 32.0 t/sec ca = 3.0 rad/sec a, = 0.0 rad/sec i, = 2.0 rad/sec @, 4.0 rad /sec a, = 5.0 rad/sec a = 6.0 rad/sec

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