Why does a bicyclist pick up speed on a downhill road even when he is not pedaling? Does this violate the conservation of energy principle?

Melodi Harfouche Chemistry 130 Dr. Yihui Yang 02/09/2017 Integrated Rate Law: Dependence of Concentration on Time The integrated rate law essentially links concentrations of reactants or products w/time directly For the reaction A products, the rate is =k[A]^n Applying calculus to integrate the rate law (which is the initial rate of a reaction) gives another equation which shows the relationship between the concentration of reactant A and the time of the reaction o That equation that comes out of that is the integrated rate law FirstOrder Reactions For firstorder reactions, the rate law is =k[A]^1, which is essentially just =k[A] For the integrated rate law of a firstorder reaction it is o where [A] sub 0 is the initial concentration of ln [A] = − kt + A o where [A] sub t is the concentration of A at time (t) t o another way to think of this equation is [A] A graph of a firstorder reaction: ln = o Where the ln[A]sub t is the same as y t −kt o Where –kt is the same as mx o Where the ln[A]sub 0 is the same as b [A] o To equal the commonly known equation: y=mx+b 0 The ln[A] vs. time results in a straight line o Where the slope = k o Where the yintercept = ln[A]sub 0 The integrated raw law depends on order (firstorder, second, etc.) From the slope of the graph you can