Ch. 2 – Kinematics in 1-DMechanicsKinematicsDynamicsConcepts needed to describe motion w/o forcesDeals with the effects that forces have on motionChs. 2 and 3Ch. 4Our goal is to describe the motion of some object.To do this, we must be able to specify its location in space at all times!In other words, what is the position of some object at time t?Define Displacement:A vectorwhich points from an object’s initial position to its final position.
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In this chapter, we will only consider 1 dimensional motion. Let’s look at the following example:At timet=ta jogger’s position relative to some fixed origin isxAt some later→At time = o, a jogger s position relative to some fixed origin is o. At some later time, t= tf, her position relative to the origin is xf. What is her displacement during this time interval?→t= tot= tf→xoriginxo→xf→ΔxHer displacement,Δx, is the difference in her initial and final positions.→→→Displacement = Δx= xf–xo→Δx is pronounced “delta x”, or “change in x”.→Units?The SI unit of displacement is the meter (m).In 1-D we can also talk about scalar displacement, which is just a number. It can be either positive or negative.→→For example, in the above problem, if xo= 10 m and xf= 30 m, then her scalar displacement would be positive 20 m.