SOLUTION: An object is dropped from rest at a height of 118 m. Find the distance it falls during its final second in the air.

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Question 1165646: An object is dropped from rest at a height of 118 m. Find the distance it falls during its final second in the air.
Answer by ikleyn(52788) About Me  (Show Source):
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An object is dropped from rest at a height of 118 m.
Find the distance it falls during its final second in the air.
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Use the formula for the distance / (the height) at free fall

    H = %28g%2At%5E2%29%2F2.   (1)


Here H is the height, g is the free fall acceleration, t is the time.


Let's find the time of getting ground for the object dropped from the height of 118 meters.


From formula (1)

    t = sqrt%282H%2Fg%29 = sqrt%28%282%2A118%29%2F9.81%29 = 4.9048 seconds (rounded).


One second back is the time  4.9048 - 1 = 3.9048 seconds.


In 3.9048 seconds, the dropped object will fall

    h = %289.81%2A3.9048%5E2%29%2F2 = 74.7888 meters.


Hence, in the last second the object will fall 

    118 - 74.7888 = 43.21 meters, approximately.    ANSWER

Solved.