Multi$-$Step. Provide an answer and your work for each step to these questions. Your answers should be inside the appropriate box for credit. Note that you may complete this during the test time for $5$ bonus points, or take it home and return it next Monday when you walk in the door for class.

$10.$ Bottlenose dolphins produce a series of clicks at $60,437\mathrm{.}43Hz$ and $215$ dB $($at $1$ m away$)$ which they use to locate prey in murky water $($echolocation$).$ You sit still underwater with a measurement to pick up this sound while a dolphin approaches you at $2\frac{m}{s}$ from a distance of $15$ m away. The saltwater you are swimming in has a bulk modulus of $2\mathrm{.}34*{10}^9\frac{N}{m}$ and density of $1,025k\frac{g}{m^3}.$

a$.$ How long does it take for the sound to reach you after the dolphin makes it$?(5$ pts$.)$

b$.$ What is the frequency of the sound that you measure? $(5$ pts$.)$

c$.$ What is the intensity of the sound that you measure in decibels? $(5$ pts $.)$

d$.$ The sound that returns to the dolphin is the same as if you were emitting the frequency that you are measuring due to the sound waves bouncing off of you. What is the frequency that the dolphin hears from the sound bouncing off of you? $(5$ pts$.)$

e$.$ A second dolphin thinks you are a bit fishy and decides to come and check you out as well. If both dolphins stop, one $5\mathrm{.}9837$ m away and one $6\mathrm{.}9962$ m away. Determine the intensity of sound $($in dB $)$ you experience as they both measure your fishiness. $(5$ pts $.)$

$\backslash$table$[[$a$.$ Time to Reach:,s$],[$b$.$ Frequency:,Hz$],[$c$.$ Intensity:,dB$],[$d$.$ Frequency:,Hz$],[$e$.$ Intensity:,dB$]]$