Answer to Question #309018 in Mechanics | Relativity for Hntuff

Question #309018



A flower pot is accidentally dropped from a building window 400m from the ground. Assuming it starts from rest, a How long will it take the pot to reach the ground?


1
Expert's answer
2022-03-10T18:01:15-0500

Explanations & Calculations


  • Initial velocity is given, the displacement it would make is given, and the acceleration is the gravitational acceleration.
  • So, with these apply s=ut+1/2at2\small s =ut+1/2 at^2 for the pot's fall downwards.

400m=0t+12×(+9.8ms2)×t2t2=400m×29.8ms2=81.6s\qquad\qquad \begin{aligned} \small 400\,m&=\small 0t+\frac{1}{2}\times (+9.8\,ms^{-2})\times t^2\\ \small t^2&=\small \frac{400m\times2}{9.8\,ms^{-2}} \\ &=\small 81.6\,s \end{aligned}


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