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 sire. How far has the motor cycle gone when the driver hears the frequency of the

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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 sire. 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 )

Quantrex Academy · Accepted Answer

Correct answer: B. 98 ~m

Motor cycle, u=0, a=2 ~m / s ^2 Observer is in motion and source is at rest. aligned & n^ =n v-v_O v+v_S 94 100 n=n 330-v_O 330 330-v₀= 330 94 100 & v_O=330- 94 33 10 = 33 6 10 ~m / s & s= v^2-u^2 2 a = 9 33 33 100 = 9 1089 100 98 ~m . aligned

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