Question

A passing speedboat sends out a wake that rocks a rowboat. The passenger notices that the wake has a peak height of 0.8 m, 1.5s elapses between the time of one peak hitting the boat and the next, and the distance between two wave troughs is 1.7m.

A. For each value given in this problem (0.8m, 1.5s, and 1.7m), list the variable symbol and the vocabulary word the quantity identifies. (For example if I had said the boat bounces up and down ten times every second, you would interpret that as: frequency, f = 10 Hz)

B. Find the speed of the water wave.

C. Write an expression for the wave function D(x, t). (Assume the initial phase is zero and that the wave 1s moving to the right)

D. What is the maximum vertical speed of the boat?

Answer 1

A)

Amplitude = 0.8 m

Time period T = 1.5 s

wavelength = 1.7m

B) speed is given by ratio of wavelength with time period

c)

angular speed  

wave number

D)

maximum vertical speed =

maximum