The following problems will give you a first impression of

Chapter 1, Problem 1.1

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The following problems will give you a first impression of modeling. Many more problems on modeling follow throughout this chapter. (Falling body) If we drop a stone, we can assume airresistance ("drag") to be negligible. Experiments showthat under that assumption the acceleration y" = d2Yldt2of this motion is constant (equal to the so-calledacceleration of gravity g = 9.80 mlsec2 = 32 ftlsec 2).State this as an ODE for yet), the distance fallen a~ afunction of time t. Solve the ODE to get the familiarlaw of free fall, y = gt2/2.

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