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.

Algebra.Com
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(52794)   (Show Source): You can put this solution on YOUR website!
.
An object is dropped from rest at a height of 118 m.
Find the distance it falls during its final second in the air.
~~~~~~~~~~~~~~~~~~~~~~~~~

Use the formula for the distance / (the height) at free fall

    H = .   (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 =  =  = 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 =  = 74.7888 meters.


Hence, in the last second the object will fall 

    118 - 74.7888 = 43.21 meters, approximately.    ANSWER

Solved.



RELATED QUESTIONS

The distance that an object falls from rest, when air resistance is negligible, varies... (answered by ikleyn)
4. The distance a body falls from rest (neglecting air resistance) varies directly as the (answered by ikleyn)
4. The distance a body falls from rest (neglecting air resistance) varies directly as the (answered by ankor@dixie-net.com)
An object is dropped from the top of a tower.The formula s=4.9t∧2 gives the... (answered by mananth)
Near the surface of the moon, the distance that an object falls is a function of time. It (answered by addingup)
An object is dropped from the top of a tower with a height of 1190feet.Neglecting air... (answered by DrBeeee)
When an object is dropped from a height of 20.0 m above the surface of Planet Z, it will... (answered by ikleyn,Edwin McCravy)
A BODY IS DROPPED FROM REST AT HEIGHT h. it covers a distance of 9/25 h in the last... (answered by solver91311)
Neglecting air resistance, the distance an object falls from rest varies directly with... (answered by Boreal)