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Motion In A Plane

Question
CBSEENPH11020361

A motorcycle starts from rest and accelerates along a straight path at 2 m/s2. At the straight point of the motorcycle, there is a stationary electric siren. How far has the motorcycle gone when the driver hears the frequency of the siren at 94% of its value when the motorcycle was at rest?

  • 49 m

  • 98 m

  • 147 m

  • 196 m

Solution

B.

98 m

straight V space equals space square root of 2 aS end root space equals space square root of 4 straight S end root
also comma space 94 space equals space 100 space open parentheses fraction numerator 330 minus straight V over denominator 330 end fraction close parentheses
rightwards double arrow fraction numerator 33 space straight x space 6 over denominator 10 end fraction space equals space square root of 4 straight S end root
rightwards double arrow straight S space equals 98 space straight m