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The amount at any time is given by, $$r(t) = Ce^$$ The amount at a later time $t \tau$ should be half as much (\tau is the half life).You may now see our list and photos of women who are in your area and meet your preferences.Orthogonal trajectories, therefore, are two families of curves that always intersect perpendicularly.A pair of intersecting curves will be perpendicular if the product of their slopes is −1, that is, if the slope of one is the negative reciprocal of the slope of the other.Therefore, if Because the half‐life and rate constant are inversely proportional, the shorter the half‐life, the greater the rate constant, and, consequently, the more rapid the decay.Radiocarbon dating is a process used by anthropologists and archaeologists to estimate the age of organic matter (such as wood or bone).

At any particular time all living organisms have approximately the same ratio carbon carbon 12 to carbon 14 carbon their tissues.Newton's Law of Cooling states that the rate at which the object's temperature decreases is proportional to the difference between the temperature of the object and the ambient temperature.At the beginning of the colling process, the difference between these temperatures is greatest, so this is when the rate of temperature decrease is greatest.For a sky diver falling in the spread‐eagle position without a parachute, the value of the proportionality constant stays constant.This occurs when the speed is low enough for the weight of the sky diver to balance the force of air resistance; the net force and (consequently) the acceleration reach zero.