The Ferris wheel in Fig. 3.42, which rotates counterclockwise, is just starting up. At a given instant, a passenger on the rim of the wheel and passing through the lowest point of his circular motion is moving at 3.00 m/s and is gaining speed at a rate of 0.500 m/s2.
(a) Find the magnitude and the direction of the passenger's acceleration at this instant.
(b) Sketch the Ferris wheel and the passenger, showing his velocity and acceleration vectors.