A person looking out of a window of a tall building sees a bucket fly past the window at 30 m/s, then hears the bucket hit the ground 8 seconds later. At what altitude is the observer located? Assume negligible air resistance and speed of sound at 340 m/s.
The problem I am having is that the sound takes an unknown time to arrive at the observer after hitting the ground.
Using the common kinematic equations and substitution, I have a couple of formulas in the link.
What are the steps using my equation, if correct? I haven't managed to do it.
Or, how do I solve it after setting equation#1 equal to velocity * (total time - time for sound to reach observer)?
I have found various equations for solving similar penny/stone in the well problems , but they all assume a starting velocity of zero.
As an additional question, what area of algebra should I practice here, in order to solve equations like this?
The Attempt at a Solution
The problem I am having is that the sound is already in motion when the time begins, and the sound takes an unknown time to arrive at the observer after hitting the ground due to the unknown distance.
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