A motor cycle starts from rest and accelerates along a straight path at 2 m/s^2. At the starting point of the motor cycle there is a stationary electric siren. How far has the motor cycle gone when t…

Question

A motor cycle starts from rest and accelerates along a straight path at 2 m/s^2. At the starting point of the motor cycle there is a stationary electric siren. How far has the motor cycle gone when the driver hears the frequency of the siren at 94% of its value when the motor cycle was at rest? (Speed of sound = 330 ms^–1)

Accepted Answer

Correct answer: A. (a) Motor cycle has travelled a distance s. Its velocity at that point v= 2 as The observed frequency f^ '=f 330-v330 ⇒0.94= 330-v330 ⇒v=0.06 330 m/s=19.8 m/ss= v^22a= 19.8^22 2=9.9^2=98 m

Solution

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