Friday, March 9, 2012

Leaning out a window glasses fall and hit ground 2.2s whats the height of window?

Martha was leaning out of the window on the second floor of her house and speaking to Steve. Suddenly, her glasses slipped from her nose. The glasses hit the ground in 2.2 seconds. whats the height of the window?Leaning out a window glasses fall and hit ground 2.2s whats the height of window?
The answer involves time, acceleration and distance. A standard formula expresses this relationship as .5*Acceleration*(time squared) equals distance. The givens are that time=2.2s, and the acceleration of gravity is 32feet/(second squared). Therefore, .5*32*(2.2 squared)=16*4.84=77.44feetLeaning out a window glasses fall and hit ground 2.2s whats the height of window?
constant acceleration of a free falling object (gravity): g=9.8 m/sec^2

t=2.2sec

x=height or distance



x=(g t^2)/2

={[9.8 m/sec^2 x (2.2sec)^2]}/2

=(9.8m/sec^2 x 4.84sec^2)/2

=47.432m/2

x=23.716m

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