A motor cycle starts from rest and accelerates along a straight path at $2 \mathrm {~m} / \mathrm { s } ^ { 2 }$. 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 $= 330 \mathrm {~ms} ^ { - 1 }$)\\
(1) 49 m\\
(2) 98 m\\
(3) 147 m\\
(4) 196 m