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Question Number 11968 by tawa last updated on 08/Apr/17

$$\mathrm{A}\mathrm{motorcyclist},\mathrm{passing}\mathrm{a}\mathrm{road}\mathrm{junction},\mathrm{moves}\mathrm{due}\mathrm{east}\mathrm{for}8\mathrm{seconds}\mathrm{at}$$$$\mathrm{a}\mathrm{uniform}\mathrm{speed}\mathrm{of}5\mathrm{m}/\mathrm{s}.\mathrm{He}\mathrm{then}\mathrm{moves}\mathrm{due}\mathrm{north}\mathrm{for}\mathrm{another}6\mathrm{seconds}$$$$\mathrm{with}\mathrm{the}\mathrm{same}\mathrm{speed}.\mathrm{At}\mathrm{the}\mathrm{end}\mathrm{of}6\mathrm{seconds}\mathrm{his}\mathrm{displacement}\mathrm{from}\mathrm{the}$$$$\mathrm{road}\mathrm{junction}\mathrm{is}50\mathrm{m}\mathrm{in}\mathrm{the}\mathrm{diretion}\mathrm{of}$$$$\mathrm{A})53°\mathrm{E}\left(\mathrm{B}\right)37°\mathrm{E}\left(\mathrm{C}\right)53°\mathrm{W}\left(\mathrm{D}\right)37°\mathrm{W}$$

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