# Let the body hit the floor.

Classical Mechanics Level 3

A body is dropped from a certain height $$h.$$ The ratio of the distance traveled by $$(n-3)$$ seconds to the distance it travels in the $$(n-3)^{\text{th}}$$ second is $$4:3$$. Suppose the body falls down to the ground in a total of $$n$$ seconds, find the height of the building, $$h$$.

Assumptions and Details

• $$g=10$$ m/s$$^2$$
• The body is not a corpse, simply a mass.
• Neglect wind resistance.
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