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September 30, 2014

September 30, 2014

Posted by **Bill** on Monday, October 12, 2009 at 1:40pm.

- Physics -
**MathMate**, Monday, October 12, 2009 at 2:21pmYou have only one variable, H=height of the palm tree.

The distance, D can be expressed in terms of H through Dtan(4.4°)=H

since

H=v0T+(1/2)gT²

Time T for coconut to reach the ground from rest = sqrt(2H/g)

From:

"The time elapsed from the moment he releases the coconut until it hits the pavement is three times as long as the time it takes for the sound of the impact to reach you."

we form the equation:

T=3*D/Vs

where Vs=velocity of sound = 343 m/s

Solve for H.

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