# Gimli Glider

Aircraft Boeing 767 lose both engines at 42000 feet. The plane captain maintain optimum gliding conditions. Every minute, lose 1910 feet and maintain constant speed 211 knots.

Calculate how long it takes to plane from engine failure to hit the ground. Calculate how far the pilot glide plane.

1 foot = 1 ft = 0.3 m
1 knot = 1.9 km/h

Result

t =  22 min
s =  146.4 km

#### Solution:

$t = \dfrac{ 42000}{ 1910} = 22 \ \text{min}$
$s_1 = t . v = \dfrac{ 21.99}{60} \cdot 211 \cdot 1.9 = 146.93 \ km \ \\ s_2 = 42000 \cdot 0.3 / 1000 = 12.6 \ km \ \\ \ \\ s = \sqrt{s_1^2 - s_2^2} = 146.4 \ \text{km}$

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