Doppler Effect The Doppler effect (named after Christian Doppler) is the change in the pitch (frequency) of the sound from a source (s) as heard by an observer (o) when one or both are in motion. If we assume both the source and the observer are moving in the same direction, the relationship is
where perceived pitch by the observer
actual pitch of the source
actual pitch of the source
speed of the observer
speed of the source
Suppose that you are traveling down the road at 45 mph and you hear an ambulance (with siren) coming toward you from the rear. The actual pitch of the siren is 600 hertz (Hz).
(a) Write a function that describes this scenario.
(b) If Hz, find the speed of the ambulance.
(c) Use a graphing utility to graph the function.
(d) Verify your answer from part (b).
Source: www.kettering.edu/~drussell/
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Precalculus (10th Edition)
- Define Newton’s Law of Cooling. Then name at least three real-world situations where Newton’s Law of Cooling would be applied.arrow_forwardFrictional Force The frictional force F between the tires and the road required to keep a car on a curved section of a highway is directly proportional to the square of the speed s of the car. If the speed of the car is doubled, the force will change by what factor?arrow_forwardData collected by PH210 students to describe the motion of a person on an amusement park water slide who moved from a level section of the slide onto a smooth slope at t=D0 seconds is described in thefollowing data. (sec) 0.50 0.01 7.10 0.20 0.75 0.01 7.90 0.20 1.00 0.01 8.50 0.40 1.25 0.01 9.50 0.30 1.50 0.01 10.00 0.40 1.75 0.01 10.50 0.40 2.00 0.01 11.20 0.30 If we assume that the velocity data can be fitted by the linear equation: V) = V, + at we can determine the initial velocity U, and the %3D acceleration a of the person. Use your Excel Template or least squares fitting table from the previous lecture to answer the following questions. Carry at least two extra decimal places through all statistical calculations, and round appropriately when expressing the final results. What was the initial velocity of the person? Select one: O a. 2.71 m/s O b. - 2.71 m/s O c. - 5.85 m/s od 5.85 m/s O e none of thesearrow_forward
- E Psy E Unt C Log e Aco V Tur SSlf A www-awu.aleks.com/alekscgi/x/lsl.exe/1o_u-IgNslkasNW8D8A9PVVRD722fbLpYbnRLf8ocURSKhJQO_itZs8shVHhxm-ZaorZoFLlqsCwNo6vUwt0XTWfjJIVW3mcK7HgW1Tt8PPSZgFhBN-Yx?1oBv Pf Ad PI Ade O GRAPHS AND FUNCTIONS Transforming the graph of a function by reflecting over an axis OD 0/5 Briar (a) The graph of y =f(x) is shown. Draw the graph of y=-f(x). (b) The graph of y=g (x) is shown. Draw the graph of y=g(-x). EX 2- Explanation Check O 2022 McGraw Hill LLC. AllRights Reserved. Terms of UseI Privacy Center Accessil a IIIarrow_forwardSafari File Edit View History Bookmarks Window Help A mat a O (302) YouTube O (347) Yo MAT 1133.006 Spring 2021 Test: Exam 1 Spring 2021 This Question: 1 pt 3 of 20 (2 c Find the average rate of change for the function over the given interval. y= 2x° - 8x2 + 3 between x= - 9 and x = 5 O A. 154 2156 O B. 53 OC. 53 OD. 14 Click to select your answer.arrow_forwardIts number 3arrow_forward
- Sovereign Smpu December 13, 8:17 PM 210 MATH CALCULUS I PRACTICE QUESTION AND ASSIGNMENT # 2 Direction: Find each Derivatives (Vse any tanx y= (sinx) yis a fn qt ANS: y= -y Fanx ANS: lo0 2. I00 100 100 X ty =Xy 101 Ans: y=-yo O y= tanzt seez 161 fanz -secx ③ダーメケt0スy Aos:y-itysinxy Aros: y'= - 2cas2 (sinz-1 tanz Cotx 8. y= log, log Cotx tank ANs y=0 %3D 4x I cos 82 64 y= 4x +2 Sinzcare]arrow_forwardData collected by PH210 students to describe the motion of a person on an amusement park water slide who moved from a level section of the slide onto a smooth slope at t= 0 seconds is described in thefollowing data. t(sec) 0.50 0.01 7.10 0.20 0.75 0.01 7.90 0.20 1.00 0.01 8.50 0.40 1.25 0.01 9.50 0.30 1.50 0.01 10.00 0.40 1.75 0.01 10.50 0.40 2.00 0.01 11.20 0.30 If we assume that the velocity data can be fitted by the linear equation: Ut) = v, + at¸ we can determine the initial velocity U, and the acceleration a of the person. Use your Excel Template or least squares fitting table from the previous lecture to answer the following questions. Carry at least two extra decimal places through all statistical calculations, and round appropriately when expressing the final results. %3D Find N-2 mx, Select one: O a. 0.0209 O b. 0.0109 O c. 0.0409 O d. 0.0309 O e. none of thesearrow_forwardDefferentiatearrow_forward
- The derivative of position with respect to time is ... velocity acceleration O jerk O Happinessarrow_forwardSinusoidal modeling: use your knowledge of amplitude, period, vertical translations, and horizontal translations along with your higher order of thinking skills to find functions that model the following.arrow_forwardDescribe some similarities and differences between y = cosx and y = secx.arrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning