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# Straight Motion: watermelon dropped from roof sound splash

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A physics student with too much free time drops a watermelon from the roof of a building. He hears the sound of the watermelon going "splat" after a time interval of delta (change) t.

You may ignore air resistance. How high is the building? The speed of sound is vs .
Take the free fall acceleration to be g.

https://brainmass.com/physics/resistance/straight-motion-watermelon-dropped-roof-sound-splash-64772

#### Solution Preview

I assume that you know how to solve quadratic equations and how to do general algebraic transformations.
If not, please post a separate request for an OTA to explain one or both of these subjects.

You should have in you book or course notes a formula telling how much time does it take an object to travel distance H (which we take to be the height of the building) starting from velocity 0 and having constant acceleration g.

In case you do not find this formula, I derive it here:
Let X-axis be directed downwards.
The melon starts from x0 = 0 with ...

#### Solution Summary

The expert examines the straight motion of a watermelon dropped from roof sound splash.

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