A Ferris Wheel Is Built Such That the Height H $h ( t ) = 67 + 54 \sin \left( \frac { \pi } { 18 } t - \frac { \pi } { 2 } \right)$

question 65

Multiple Choice

A Ferris wheel is built such that the height h (in feet) above the ground of a seat on the wheel at time t (in seconds) can be modeled by $h ( t ) = 67 + 54 \sin \left( \frac { \pi } { 18 } t - \frac { \pi } { 2 } \right)$ .The wheel makes one revolution every 36 seconds and the ride begins when t = 0.During the first 36 seconds of the ride, when will a person, who starts at the bottom of the Ferris wheel, be 67 feet above the ground?

• A)9 seconds and 22 seconds
• B)9 seconds and 27 seconds
• C)10 seconds and 22 seconds
• D)9 seconds and 17 seconds
• E)10 seconds and 17 seconds

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Definitions:

Smell

The sensory perception of odors or scents, detected by the olfactory system in the nose.

Mechanoreceptors

Mechanoreceptors are sensory receptors that respond to mechanical pressure or distortion, involved in sensations such as touch, pressure, and sound.

Excited By

Stimulated or activated by an external source, leading to an increased level of energy or activity.

Pressure

The force exerted per unit area; in fluids, it is often caused by gravity acting upon the fluid's mass.