refresh Displacement: Ax = x2-x, dx Velocity: Axave = x; Axinst de st dvx acceleration. Axar= AVx ; axinst at st Vectors 3-D vector P= xì + yj + zk Velocity = vector time =x(t)+ ↳ can be expressed by dr dxi '== dt + dy at +dz k Instantaneous velocity is tangere to the path Lv1 = √ v²y + v²y tand=x Ar Displacement (vector quantity) 14 Distance (Scalar quantity) 2.171 → Average velocity Tave = At a-acceleration {average) = ave 2 Ez-t At instantaneous} ↑ = lim AⅣ- av inst At+0 At dt can be expressed in terms of parallel and Perpendicular expressed in in components du dvx itduyndva a=dt dt at = Projectile Motion an initial velocity ↳ Center of mass follows a path influenced gravitional & only by the force of granty force y do moves on Vertical plane & trajectory 4 depenos ax=8, ay=g downward onvo only acceleration on gravity acceleration to right = Øx equations of motion 1). V = V tattime elapsed T Intial t 3) v2=v20 +20 (x-x) 2). X=X+Vot + ½ at² D Vy = Vo sind vx = cos do V along the positive x²y axis Along y direction 1). Vy = V Sina-gt 2). (vo sinalt-żgtz 0 3). v² y = vz-sin²ol-2 gly, y along X direction D 2).X = (v, casa) t ) 3).v=vzcos² do Motion in a circle it Speed = constant, = Constant, trajectory → dv isa Perfect circle a = at & change in velocity acceleration → AVAS V1 R → Av = AS AV = V₂ DS V. A=At ave 2 (-) Radial acceleration (Centripetal) 4 center seeking arad = v²

Chapter 3: Motion in a Circle

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