Bats typically use frequencies around 50 kHz for their echolocation. (a) What is the wavelength of this sound wave? (b) If the bat were flying away from you at 10 m/s and you were standing still, what frequency would you observe (measure)? (c) The bat is chasing a mosquito that is flying toward the bat at 5 m/s. The bat is flying toward the mosquito at 10 m/s. What frequency does the bat hear from the sonar bounce off of the mosquito? (d) Recall that the highest frequency that most humans can hear is around 20 kHz. What speed, and in what direction, would the bat have to fly in order for a human to hear the bat's sonar? How possible is this? For all these questions, you can assume that the speed of sound in air is 343 m/s.