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3. The height h, in meters, of a car above the ground as a Ferris wheel turn can be modelled using the function h

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3. The height h, in meters, of a car above the ground as a Ferris wheel turn can be modelled using the function h = B0 sin (+)+ CD, where t is the time in seconds. a. Determine the average rate of change of h over each time interval, round to three decimal places. i. 5s to 10 s ii. iii. 9.9 s to 10 s 9.99 s to 10 s b. Estimate the value for the instantaneous rate of change of h at t = 10 s. c. What physical quantity does this instantaneous rate of change represent? d. Would you expect the instantaneous rate of change of h to be the same at t = 15 s? Justify your answer.

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