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In fig. 2.24, a student at a window on the second floor of a dorm sees his math professor walking on the sidewalk beside the building. he drops a water balloon from 18.0 m above the ground when the professor is 1.00 m from the point directly beneath the window. if the professor is 170 cm tall and walks at a rate of 0.450 m/s does the balloon hit her? if not, how close does it come?

Respuesta :

apologiabiology
how long will it take for the baloon to fall the distance between the professor and the window or more?
distance between professsor and window=18m-170cm=1800-170cm=1630cm

how long until the professor is directly under the window?
1m=0.450m/s times t
2.2222222=t
about 2 and 2/9 seconds

if the balloon can travel at least 1630cm in 2 and 2/9 seconds, then it will hit her

the distance traveld is d=(1/2)gt² where g is the accerlation due to gravity (about 9.81m/s²)
so
t=2.2222222222
d=(1/2)(9.81m/s²)(2.2222222222s)²
D=(9.81m)(2.22222222222222)(1.111111111)
D≈0.24222222222222222222222222222222m≈24.222cm

it needs to travel 1630cm
you failed
it came within 1605.77777777cm of the professor

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