The Doppler effect is a change in the observed frequency of a wave (such m a sound wave or light wave) when the source of the wave and observer are in motion relative to each other. The Doppler effect explains why an observer hears a change in pitch of an ambulance siren as the ambulance passes by the observer. The frequency
Suppose the frequency of sound emitted by a police car siren is 600 Hz.
a. Write F as a function of v if the police car is moving toward an observer.
b. Suppose that the frequency of the siren as heard by an observer is 664 Hz. Determine the velocity of the police car. Round to the nearest tenth of a mph.
c. Although a police car cannot travel dose to the speed of sound. interpret the meaning of the vertical asymptote
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
PRECALCULUS: ALEKS
Additional Math Textbook Solutions
Elementary Statistics: Picturing the World (7th Edition)
Elementary Statistics (13th Edition)
Pre-Algebra Student Edition
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
A First Course in Probability (10th Edition)
- Meteorology The normal monthly high temperatures H (in degrees Fahrenheit) in Erie, Pennsylvania, are approximated by Ht=57.5418.53cost614.03sint6 and the normal monthly low temperatures L are approximated by Lt=42.0315.99cost614.32sint6 where t is the time (in months), with t=1 corresponding to January (see figure). (a) What is the period of each function ? (b) During what part of the year is the difference between the normal high and normal low temperatures greatest ? When is it least ? (c) The sun is northernmost in the sky around June 21, but the graph shows the warmest temperatures at a later date. Approximate the lag time of the temperatures relative to the position of the sun.arrow_forwardA buoy floating in the ocean is bobbing in simple harmonic motion with period 6 seconds and amplitude 3 ft. Its displacement d from sea level at time t = 0 seconds is 0 ft, and initially it moves downward. (Note that downward is the negative direction.) Give the equation modeling the displacement d as a function of time t. Osino Ocos Oarrow_forwardAnswer number 7arrow_forward
- Identify the function with a period of 4 and an amplitude of 2. Function B Function Function D -3 Function A c. Function C d. Function D a. Function A с. b. Function B 3.arrow_forwardPls help ASAP and pls show all steps and calculations.arrow_forwardDuring a 12.8-hour period, the water level at Bay of Fundy, Nova Scotia, started at mean sea level (h=0), rose to 23.8 ft above sea level, dropped to 23.8 ft below mean sea level, and then returned to mean sea level. Which of the following model describes the height of the tide in ft as a function of time in hours, h(t) ? 23.8 sin (12.8 t) 23.8 sin(12.8 t) 47.6 sin(0.15625 t) 47.6 sin(12.8 t) 23.8 sin(0.15625 t) 47.6 sin (12.8t)arrow_forward
- What is the Amplitude of the function y= - 5cos(3x- T) ? Select one: 2 3 3 O -5 O 5arrow_forwardSuppose that Nolan throws a baseball to Ryan and that the baseball leaves Nolan's hand at the same height at which it is caught by Ryan. If we ignore air resistance, the horizontal range r of the baseball is a function of the initial speed v of the ball when it leaves Nolan's hand and the angle 0 above the horizontal at which it is thrown. SPEED v (ft/s) 80 85 90 95 35 188 212 238 266 40 197 222 249 278 45 200 226 253 281 50 197 222 249 278 Use the accompanying table and the equations below to estimate the stated partial derivatives. f(хо + Дх, Уо) -f (хо- Уo) if,(xo, yo) = lim Ay-0 f (x0, Yo + Ay) – f (xo. Yo) Ay f. (xo, Yo) = lim Ax-) Ax Take a left-hand estimate and a right-hand estimate in each case and give the average of the two as your final answer. (a) Estimate the partial derivative of r with respect to v when v = 85ft/s and 0 = 45°. dr i dv (b) Estimate the partial derivative of r with respect to 0 when v = 85ft/s and e = 45°. dr ANGLE O (degrees)arrow_forwardA ferris wheel is 27 meters in diameter and completes 1 full revolution in 8 minutes. A ferris wheel is 27 meters in diameter and boarded from a platform that is 1 meter above the ground. The 6 o'clock position on the Ferris Wheel is level with the loading platform. Th wheel conpletes 1 full revolution in 8 minutes. The function h(t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. a. Find the amplitude, midline, and period of h(t). Enter exact answers b. Assume that a person has just boarded Ferris wheel from the platform and that the Ferris Wheel starts spinning at time t=0. Find a formula for the height function h(t). Hints: •What is the value of h(0) • Is this the maximum value of h(t), the minimum value of h(t), or a value between the two? • The function sin(t) has a value between its maximum and minimum at t=0, so can h(t) be a straight sine function? • The function cos(t) has its maximum at t=0, so can h(t) be a straight cosine…arrow_forward
- What is the amplitude of the function 0.5 2 Xarrow_forwardEach time your heart beats, your blood pressure first increases and then decreases as the heart rests between beats. The maximum and minimum blood pressures are called the systolic and diastolic pressures, respectively. Your blood pressure reading is written as systolic/diastolic. A reading of 120/80 is considered normal.A certain person's blood pressure is modeled by the function p(t) = 125 + 25 sin(150(pi)t) where p(t) is the pressure in mmHg (millimeters of mercury), at time t measured in minutes. (a) Find the period of p. min(b) Find the number of heartbeats per minute. heartbeats per minutearrow_forwardWhen the source of the sound is moving away from the observer, the equation that describes this C phenomenon is f fo, where c + v fis the observed frequency (pitch) of the sound, in Hertz c is the speed of sound, in miles per hour (about 761 miles per hour) v is the speed of the sound source, in this case the car, in miles per hour fo is the frequency of the sound when stationary Using a spectrum analyzer, we could determine the observed frequency when the car was driving towards us was 270 Hz and the frequency while driving away was 240 Hz, suggesting a stationary frequency of 255 Hz. Use this information and the equation to estimate the speed of the car in miles/hour. Round your answer to one decimal place. mi/hr Question Help: DPost to forum Submit Question esc G Search or type @ $ % 2 3 4 5 6arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning