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One of the rectangular components of velocity of 80 ${kmh}^{- 1}$ is 40 Km $h^{- 1}$ What are the other components ?

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40 ${kmh}^{- 1}$

69.28 ${kmh}^{- 1}$

89.44 ${kmh}^{- 1}$

120 ${kmh}^{- 1}$

answer is B.

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Detailed Solution

R = 80 km/h, $R_{x}$ = 40 km/h

but $R^{2} = {R_{x}}^{2} + {R_{y}}^{2} \Rightarrow 80^{2} = 40^{2} + {R_{y}}^{2}$

$\Rightarrow {R_{y}}^{2} = 4800$

$\Rightarrow R_{y} = \sqrt{4800} = 40 \sqrt{3} = 69.28$

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