Two coconuts fall freely from rest at the same time, one from a tree twice as high as the other. If the coconut from the shorter tree takes 2.0 s to reach the ground, how long w…

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asked Sep 10, 2019 12.3k views

1 Answer

Jeff Rosenberg · Answer 1 · 2019-09-14T22:47:42+0000

Wee can use here kinematics

as we know that

y = v*t + (1)/(2) at^2

for shorter tree we know that

y = 0 + (1)/(2)*9.8 * 2^2

y = 19.6 meter

now since we know that other tree is twice high

So height of other tree is y = 39.2 m

now again by above equation

y = v*t + (1)/(2) at^2

39.2 = 0 + (1)/(2)*9.8 * t^2

t = 2.83 s

so the time taken is 2.83 s