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A helix, sometimes also called a coil, is a curve for which the tangent makes a constant angle with a fixed line. The shortest path between two points on a cylinder (one not directly above the other) is a fractional turn of a helix, as can be seen by cutting the cylinder along one of its sides, flattening it out, and noting that a straight line connecting the points becomes helical upon re-wrapping (Steinhaus 1999, p. 229). It is for this reason that squirrels chasing one another up and...
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If velocity, acceleration, jerk, snap, crackle, and pop are the first, second, third, fourth, fifth, and sixth derivatives of position, what would a graph of y=1 on a pop v.s time graph look like converted to a position v.s time graph? - Quora
Answer (1 of 4): Other answers demonstrate the results of simple mathematical integration of the function:
pop(t) = 1
showing that position is a 5th power of time:
s(t) = kt^5
However, we know something about jerk, which is actually a real thing: the derivative of acceleration with respect to...