A car is parked 20.0 m directly south of a railroad crossing. A train is approac

Question

A car is parked 20.0 m directly south of a railroad crossing. A train is approaching the crossing from the west, heading directly east at a speed of 52.0 m/s. The train sounds a short blast of its 271-Hz horn when it reaches a point 24.0 m west of the crossing. What frequency does the car's driver hear when the horn blast reaches the car? The speed of sound in air is 343 m/s. (Hint: Assume that only the component of the train's velocity that is directed towards the car affects the frequency heard by the driver.)

Explanation / Answer

The angle will be 45 degrees, as both the car and train are at that time, 24m. from the crossing.
(cos 45) x 52m/sec = 36.77 m/sec. towards the car, at that instant in time.
((343 + 36.77)/343) x 271Hz = 300.05 Hz. rceived by the car's driver.

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