A
singer quartet consisting of Angel, Betty, Carlos and Diana wants
tonpractice 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 the third base, Carlos to second
base and Diana to first base. While they are getting ready a bird
flies 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.