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When you are standstill holding a flag, ...

When you are standstill holding a flag, the flag flutters in the direction of wind. When you start running the direction of fluttering of the flag changes to the direction of the wind relative to you. In all case a flag flutters in the direction of the wind relative to the flag.
Winds is blowing uniformly due north everywhere with velocity 12 m/s. A car mounted with a flag starts running towards cast. after 9s from starts the flag flutters in `53^(@)` north of west and after 16 s from the start the flag flutters in `37^(@)` north of west.
(a) Find velocity of the car 9 s after it starts.
(b) Find velocity of the car 16 s after it starts.
(c) If the car maintains uniform acceleration, find acceleration of the car.

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The correct Answer is:
(a) 9 m/s (b) 16 m/s (c) `1 m//s^(2)`
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When you are standstill holding a flag, the flag flutters in the direction of wind. When you start running the direction of fluttering of the flag changes to the direction of the wind relative to you. In all case a flag flutters in the direction of the wind relative to the flag. Holding a flag, when you run at 8 m/s due cast, the flag flutters in the north and when you run at 2m/s due south, the flag flutters in the northeast. If the wind velocity is unifoem and remain constant, find the wind velocity.

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