Horne Class Management I Help HW chs 16 & 17 Begin Date: 3/132017 12:00:00 AM Da

Question

Horne Class Management I Help HW chs 16 & 17 Begin Date: 3/132017 12:00:00 AM Date 323 2017lles900 PMEnd Dater niso.00AM Probl em 7: stand at the top of a deep well. To determine the depth (D of the well you drop a rock from the top of the well and listen for the splash as the The hits the water's surface. The splash arrives t 39safter you drop the rock. speed of sound in the well is vs 335 m/s. Otheexpertta.com P A 50% Part (a) Find quadratic equation for the distance, D, in terms ofthe time, the acceleration due to gravity, and the speed of sound the mpleted mpleted Arrange the expression so that the coefficient of the D tem is 1. mpleted mpleted per attempt) mpleted Feedback: deduction per feedback. Hints: deduction per hint Hints remaining

Explanation / Answer

Here ,

let the depth of the well is D

a)

NOw, for total time taken

t = sqrt(2 * D/g) + D/vs

t^2 + D^2/vs^2 - 2D t/vs = 2 D/g

D^2 - 2 D * vs^2 (t/vs + 1/g) + t^2 * vs^2 = 0

b)

for the value of D

D^2 - 2 * D * 335^2 * (3.9/335 + 1/9.8) + 3.9^2 * 335^2 = 0

solving for D

D = 67 m

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