2. The height above the ground, h, in metres of a car on a Ferris Wheel as the Ferris Wheel turns can be modelled by the function h(t) = -12cos +15, wheret is the time, in seconds, a) Determine the average rate of change in height from 60 to 240 seconds. b) Given that the Ferris Wheel's instantaneous rate of change is zero at 240 sec, prove the Ferris Wheel is at its minimum height at 240 sec. c) Given your knowledge of trig functions, state the other time(s) the Ferris Wheel has an instantaneous rate of change of zero in the first 7 mins of the ride.

2. The height above the ground, h, in metres of a car on a Ferris Wheel as the Ferris Wheel turns can be modelled by the function h(t) = -12cos +15, wheret is the time, in seconds, a) Determine the average rate of change in height from 60 to 240 seconds. b) Given that the Ferris Wheel's instantaneous rate of change is zero at 240 sec, prove the Ferris Wheel is at its minimum height at 240 sec. c) Given your knowledge of trig functions, state the other time(s) the Ferris Wheel has an instantaneous rate of change of zero in the first 7 mins of the ride.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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