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The concorde is the fastest airlines used for commercial service. It can cruise at 1450 mile per hour (about two times the speed of sound or in other words mach 2) . What is it in m/s?

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644.4 m/s

80 m/s

40 m/s

None of these

answer is A.

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Detailed Solution

As, $n_{1} u_{1} = n_{2} u_{2}$

$(n_{1} a n d n_{2}$ are numerical values and $u_{1} a n d u_{2}$ are the unit in proper system)

$∴ n_{2} = \frac{n_{1} u_{1}}{u_{2}}$

$= \frac{1450 m i l e / h}{m / s} = \frac{1450 s / m i l e}{m h}$

$= \frac{1450 s \times 1.6 k m}{10^{- 3} k m \times 60 \times 60 s} = 644.4$

1450 mile/h = 644.4 m/s

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