Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
You drop a stone into a well and hear the splash after . Ignore the time for the sound to come back up, and take . (a) How deep is the well? (b) How fast is the stone moving just before it hits the water?
Without air, everything falls with the same acceleration (, or when the problem says so). Thrown up at : it stops at the top after , at a height , and takes as long to come down.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. (a) .
Step 2. (b) .
Answer: About ; .
Watch out. The sound takes a little time too, so the real well is a little shallower.
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