Wednesday, February 29, 2012

A raindrop drops from a cloud 2km above the earth. What speed in mph does it hit the ground?

A raindrop drops from a cloud 2km above the earth. What speed in mph does it hit the ground assuming there is no air resistance?A raindrop drops from a cloud 2km above the earth. What speed in mph does it hit the ground?
That depends on the weight.A raindrop drops from a cloud 2km above the earth. What speed in mph does it hit the ground?
Assuming thee is not air resistance? On a raindrop? ROTFL.



But if you want to play Galileo, the equations for motion under constant accelerations are:



Vf = Vi + A T

D = Vi T + (1/2) A T^2



where:

Vi = initial velocity (in this case 0)

Vf = final velocity

A = acceleration (in this case that of gravity ~9.8 m/s^2)

T = time

D = distance



You are given the initial velocity and the distance and you know the acceleration, so you can use the distance equation to compute the time.



With the time you can use the velocity equation to compute Vf.

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