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Odd number rule is constant acceleration
Gravity causes objects to accelerate at a constant rate, meaning they travel 1, 3, 5, 7... times farther in each successive second. This 'odd number rule' is just math, not magic.
- π Galileo's law of falling bodies states that distance traveled is proportional to the square of time (d = Β½atΒ²).
- π The distance traveled in each successive second is proportional to the odd numbers (1, 3, 5, 7...) because the area under the velocity-time graph increases by successive odd numbers.
- π If velocity increases at a constant rate, the distance traveled in the first second is 'x', in the second second it's '3x', in the third it's '5x', and so on.
- π’ The mathematical definition of an odd number is 2n + 1, where n is any whole number (0, 1, 2, 3...).
- βοΈ The concept of oddness arises from pairing items: an even number can be perfectly paired, an odd number always has one left over.
The numbers 1, 3, 5, 7, 9, 11 are shown above lines fanning out to a sloped surface, illustrating a pattern.