SOLUTION: If a body travels half its total path in the last 1.70 s of its fall from rest, find the total time of its fall (in seconds).

Question 1047597: If a body travels half its total path in the last 1.70 s of its fall from rest, find the total time of its fall (in seconds).
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
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If a body travels half its total path in the last 1.70 s of its fall from rest, find the total time of its fall (in seconds).
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Let "t" be the total time of the body falling.

Then H =  is the total path (total height).

The path the body fell from the beginning (from the start) to the last 1.70 s of its fall is  h = .

According to the condition, H = 2h, which gives you an equation

 = .

Cancel factor "g" in both sides and simplify. You will get

 = ,  or

 = ,   or

 = 0.


Solve this quadratic equation for "t" to get the answer.


I am leaving it to you.

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