Chapter 4.1, Problem 12E

The height above the ground of a rider on a Ferris wheel can be modeled by the sinusoidal function h=6sin(1.05t−1.57)+8ℎ=6sin(1.05t-1.57)+8  where hℎ  is the height of the rider above the ground, in metres, and t  is the time, in minutes, after the ride starts. When the rider is at least 11.5 m above the ground, she can see the rodeo grounds. During each rotation of the Ferris wheel, the length of time that the rider can see the rodeo grounds, to the nearest tenth of a minute, is  min.

The position function of a particle is given by ?(?) , where t is measured issecond and s is measured in metres. a) Find the velocity and acceleration functions. b) When does the particle change direction?c) What is the velocity at ? = 3 seconds? Is the particle moving away or towards its starting position?

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