To understand where this equation comes from we note that Newton second law (Force = mass x acceleration) is P a = The density of the air it’s falling inĪ = The acceleration of the falling object Let’s have a look at how we can prove that.įor an object falling through the air we have: But does that really mean that a feather and a cannonball would fall at the same speed? Well, yes – as long as they were dropped in a vacuum. He dropped various objects from in order to measure how long it took for them to reach the bottom, coming to the remarkable conclusion that the objects’ weight did not affect the speed at which it fell. Galileo Galilei was an Italian mathematician and astronomer who (reputedly) conducted experiments from the top of the Tower of Pisa. This book would make a great investment if you want some novel ideas for a maths investigation. This post is inspired by the excellent book by Robert Banks – Towing Icebergs. Galileo: Throwing cannonballs off The Leaning Tower of Pisa
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