Final answer:
The frequency heard by an observer while the rocket is in flight and recedes away is approximately 239.90 Hz.
Step-by-step explanation:
The frequency heard by an observer while the rocket is in flight and recedes away can be found using the Doppler effect formula:
f' = f * (v + vr)/(v + vs)
Where:
- f' is the frequency heard by the observer
- f is the frequency of the rocket on the ground
- v is the speed of sound (343.00 m/s)
- vr is the velocity of the rocket receding away (-247 m/s)
- vs is the velocity of the stationary observer (0 m/s)
Substituting the given values, we have:
f' = 486 * (343.00 - 247)/(343.00 + 0) = 239.90 Hz
The frequency heard by the observer while the rocket is in flight and recedes away is approximately 239.90 Hz.