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Sinusoidal Functions Worksheet. For questions # 1-4 start with the parent function then complete the transformations given. Using transformations, graph two cycles of the following trigonometric functions. State the period, phase shift, amplitude, and vertical shift.
1. Mark Twain sat on the deck of a river steamboat. As the paddle wheel turned, a point on the blade moved in such a way that its distance, d, from the water's surface was a sinusoidal function of time. When Twain’s stopwatch read 4 seconds, the point was at its highest, 16 ft above the water's surface.
Wave Speed Equation Practice Problems. The formula we are going to practice today is the wave speed equation: wave speed=wavelength*frequency. v f. Variables, units, and symbols: Remember: . frequency: number of complete waves passing a point in a given time. f number of cycles. t. If 10 waves pass in 1 second, the frequency is 10 Hz.
Write a rule in the form f(t) = A sin Bt of the sinusoidal curve representing the sound waves transmitted. The rule is ______________________________. For each of the following graphs, find
values, and then connect these points with an appropriately curved sinusoidal wave.
a) use the information above to sketch a diagram of this sinusoidal movement. b) Write the sinusoidal equation (sine and cosine) that describes this situation. Sam is riding his bike home from school one day and picks up a nail in his tire.
a) Create a scatter plot, and draw a curve of best fit for the data using sinusoidal regression. Write the equation of sinusoidal regression. b) Determine the depth of the water after 9 s, to the nearest tenth of a metre. Show your work. c) What is the level of the water when the wave machine turns off and there are no waves?
