SOLUTION: A squirrel is running along a branch 144 feet above ground dislodges a pine cone. After how many seconds does the pine cone land on the ground? (assume no branches interfere with i

Question 631807: A squirrel is running along a branch 144 feet above ground dislodges a pine cone. After how many seconds does the pine cone land on the ground? (assume no branches interfere with its fall).
Please show all work
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
As the pine cone falls, its downwards velocity increases linearly (starting from zero) at an acceleration of 32 ft/s^2 (32 ft per second every second).
In general, acceleration is represented by the letter .
(The acceleration due to gravity on the surface of planet Earth is often represented by the letter , and we know it is ).
The distance traveled by an object starting at rest and accelerating at a constant acceleration for a time is given by

In this case,
We know , we know ), and we want to know , which we will get in seconds.
We can substitute first to get
and then solve.
--> --> -->
The solution that makes sense (we do not expect a negative time) is
--> --> seconds.
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