Not at all sure where to start with this problem. Any help would be appreciated!

The siren of an ambulance has a frequency f=500 Hz. A pedestrian standing on a
sidewalk listens to this siren as the ambulance passes by at a speed of 65 mph. The speed
of sound in air is 330 m/s.

Calculate the total shift in frequency detected by the pedestrian as the ambulance
passes.

As the ambulance approaches, the pedestrian will hear a higher frequency. As it recedes a lower frequency. Add the absolute values of the changes.

For the formula, Google Doppler shift (classical not relativistic)

http://formulas.tutorvista.com/physics/doppler-shift-formula.html

To calculate the total shift in frequency detected by the pedestrian as the ambulance passes, we can use the Doppler effect equation. The Doppler effect describes how the frequency of a sound wave changes when there is relative motion between the source of the sound and the observer.

The equation for the Doppler effect is:

f' = f * (v + vo) / (v + vs)

Where:
f' = observed frequency (shifted frequency)
f = original frequency (siren frequency)
v = speed of sound in air (330 m/s)
vo = velocity of the observer (pedestrian)
vs = velocity of the source (ambulance)

In this case, the pedestrian is stationary (vo = 0), and the ambulance is moving towards the pedestrian (vs = -65 mph = -29.05 m/s).

Plugging the values into the equation, we get:

f' = 500 * (330 + 0) / (330 - 29.05)

Simplifying the equation, we get:

f' = 500 * 330 / 300.95

Calculating the value, we find:

f' ≈ 550.63 Hz

Therefore, the total shift in frequency detected by the pedestrian as the ambulance passes is approximately 550.63 Hz.