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How Long Does It Take You To Fall 1000 Feet From A Plane Going 100 MPH With The Wind Speed At 238 MPH?
Wiki User
∙ 16y ago
How long to fall 1000 feet / 305 metres from a plane? The speed of the plane and of the wind are actually almost irrelevant, because they are (presumably) at right angles to the force of gravity. Hence gravity does its stuff in the vertical direction and the wind does its stuff, quite independently, in the horizontal direction; the time to reach the ground is unaffected. (It is true that your speed relative to the wind may affect the action of air resistance upon the falling body. But to factor in air resistance unfortunately requires complex mathematics and detailed information about the falling object; to answer the question at all requires the neglection of air resistance. The heavier the object is, the less this will matter.) Acceleration (a) under the influence of gravity is equal to gravitational field strength. On earth, this will approximate to 9.8ms-2 , or 32.2 feet/second/second, with slight variations according to latitude, altitude and topography. Ignoring air resistance means that this acceleration is linear. In other words, the speed after half the time has elapsed is the average speed. 1/2 x time x acceleration = average speed. By definition, average speed multiplied by total time (t) gives distance (s). s = average speed x time
= (1/2 x time x acceleration) x time
= 1/2at2 Therefore t = sqrt[s/(1/2a)] In metric: t = sqrt[305/4.9] = 7.9s In imperial: t = sqrt[1000/16.1] = 7.9s
So just under eight seconds is the shortest theoretical time that it might take.
Wiki User
∙ 16y ago
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