An ant is sitting on the rim of a bike wheel suspended 0.5ft in the air (thecircle shown below is meant to symbolize the bike wheel).RSP0.5fThe ant is initially at the point P on the wheel, but the wheel is spun at a constantspeed so that it moves around in circles counterclockwise, making 1 full revolutioneach minute. As a result, the ant's height as a function of time t (measured inminutes) can be modelled using an equation of the formh(t) = A+ B sin(2nt) + C cos(2nt).(a)Identify the times during the first minute of spinning at which the antis at the points P, Q, R and S.Given that the bike wheel has a radius of 1ft, identify the heights of(b)the points Q, R and S. Then use this and your answer to (a) to find the valuesof A, B and C so that h(t) models the ant's height for all t.(c)velocity).Find the rate of change of the ant's height (i.e. the ant's verticalAt what time(s) (in the first minute) is the ant's vertical velocity 0?(d)Does your answer make sense based on the picture?7.

Answered: Image /qna-images/answer/4afa4a95-445f-40cd-88f4-5bc00a23dbbb.jpg

The ant is initially at the point P on the wheel, but the wheel is spun at a constant speed so that it moves around in circles counterclockwise, making 1 full revolution each minute. As a result, the ant's height as a function of time t (measured in minutes) can be modelled using an equation of the form h(t) = A+ B sin(2rt) + C cos(27t). (a) is at the points P, Q, R and S. Identify the times during the first minute of spinning at which the ant ). Given that the bike wheel has a radius of 1ft, identify the heights of the points Q, R and S. Then use this and your answer to (a) to find the values of A, B and C so that h(t) models the ant's height for all t. (b) (c) velocity). Find the rate of change of the ant's height (i.e. the ant's vertical (d) At what time(s) (in the first minute) is the ant's vertical velocity 0?

The ant is initially at the point P on the wheel, but the wheel is spun at a constant speed so that it moves around in circles counterclockwise, making 1 full revolution each minute. As a result, the ant's height as a function of time t (measured in minutes) can be modelled using an equation of the form h(t) = A+ B sin(2rt) + C cos(27t). (a) is at the points P, Q, R and S. Identify the times during the first minute of spinning at which the ant ). Given that the bike wheel has a radius of 1ft, identify the heights of the points Q, R and S. Then use this and your answer to (a) to find the values of A, B and C so that h(t) models the ant's height for all t. (b) (c) velocity). Find the rate of change of the ant's height (i.e. the ant's vertical (d) At what time(s) (in the first minute) is the ant's vertical velocity 0?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.4: Composition Of Functions

Problem 94SE: A forest fire leaves behind an area of grass burned in an expanding circular pattern. If the radius...

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