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35 votes
35 votes
Marjorie drops an object from a height of h meters, and it hits the ground with a velocity of v m/s, as given by the function v = square root of 19.6 h. if the velocity of the object is 68.6 m/s, what was the height of the object before it was dropped?

User Gustavo Ramos
by
2.3k points

1 Answer

16 votes
16 votes

Answer:

240.1 m

Explanation:

The given relation can be solved for h, either before or after known values are used.

__

solve for h


v=√(19.6h)\\\\v^2=19.6h\\\\h=(v^2)/(19.6)

substitute known values

h = 68.6²/19.6 = 240.1

The object was dropped from a height of 240.1 meters.

User Tunnuz
by
2.9k points
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