SOLUTION: An apple falls from a tree and hits the ground in 2 seconds.How fast was it going right before it hit?

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Question 1127487: An apple falls from a tree and hits the ground in 2 seconds.How fast was it going right before it hit?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

            Such problem may come from Physics or from Calculus.

            But I do not think that it came from Algebra.

            Notice to the person who posted it:  it would be good  (benefited)  for you
            to point where this problem came from and what kind of the solution do you expect  (do you want)  to get

                    - if you do understand the meaning of my words.


Physics solution

If it is a free fall, then  the speed as the function of time is


    V(t) = g*t,


where "g" is the free fall acceleration, g = 9.81 m/s^2 = 32 ft/s^2.


Therefore,  after 2 seconds of the free fall the speed of a falling object is


    V = 9.81*2 = 19.62 m/s.

You can calculate it in ft/s on your own, if you want / (if you need).


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By the way, assuming free fall, the height of the fall is 


    H = %28g%2At%5E2%29%2F2 = %2810%2A2%5E2%29%2F2 = 20 meters,


which is not very realistic for an apple tree.


    20 meters is the height of an 5 - 7 floors living building.