Question

A singer quartet consisting of Angel, Betty, Carlos and Diana wants to practice their singing. However due to the pandemic they decide to do so at a baseball park to keep social distancing. Angel stands on the home plate, Betty goes to third base. Carlos to second base and Diana to first base. While they are getting ready a bird files along the line joining third base and home, Betty says "That bird is singing at a frequency of 350 hertz", but Angel says "No, it is singing at 340 hertz." Soon after the bird leaves the park Diana sings a 440 hertz note, Carlos hears it 0.1 second later and sings a 261 hertz note.

Part a:

Make a drawing of the bird's flight path along the line joining third base and home, with an arrow indicating the direction of flight, towards home or away from home.

Part b:

Explain why you chose that direction, include any equations that support your explanation.

Part c:

How far is Carlos from Diana? Show your calculations.

Part d:

What is the period of Carlos' note at 261 Hertz. Include your calculations.

Answer 1