Fall from flying airplane

Classical Mechanics Level 2

An airplane is flying horizontally at a height of 500 m 500 \text{ m} above the ground at a speed of 100 m/s . 100 \text{ m/s}. If an object falls freely from the airplane, what is the magnitude of the speed of the object at the moment it touchs the ground?

Gravitational acceleration is g = 10 m/s 2 . g = 10 \text{ m/s}^{2}.

180 m/s 140 m/s 80 m/s 100 m/s

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Srinivasa Satti by Srinivasa Satti

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1 solution

Bernardo Sulzbach
Jun 24, 2014

To save time, I will not carry any units along.

V = ( V x ) 2 + ( V y ) 2 V=\sqrt{(V_x)^2+(V_y)^2} V = ( 100 ) 2 + ( V y ) 2 V=\sqrt{(100)^2+(V_y)^2} V = ( 100 ) 2 + ( 2 ⋅ 10 ⋅ 500 ) V=\sqrt{(100)^2+(2\cdot{}10\cdot{}500)} V = 10000 + 10000 = 20000 ≈ 141.42135624 V=\sqrt{10000+10000}=\sqrt{20000}\approx{}141.42135624

As we can only use 2 significant figures:

V = 140 m s − 1 V=140 \text{ m s}^{-1}

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