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
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)