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Water drips from a leaky rainspout that islocated at the top of a high building. Thedroplets of water fall at an interval of 1/2second. As time passes, the distance betweentwo consecutive drops of water(A) decreases in a linear manner.(B) increases in a linear manner.(C) remains the same.(D) decreases in a parabolic manner.(E) increases in a parabolic manner. Please provide the answer with explanation

Harshitha Cheekala , 10 Years ago
Grade 12
anser 1 Answers
Shobhit Varshney

Last Activity: 10 Years ago

Hi,

Assume at t=0, first drop starts to fall.
So, its distance from the rainspout, h1= 0.5 g t2

At t = 0.5 s, next drop starts to fall.
So, its distance from the rainspout, h2= 0.5 g (t – 0.5)2

Separation between them at any time t = h1–h2
= 0.5 g [t2– (t – 0.5)2]
= 0.25 g (2t – 0.5)

So, it increases in a linear manner.

thanks

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