33106 Lecture 4: 33-106 Lecture Week 2-2
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33-106 versions: more general, emphasize change, conceptually easier. X = vi t + 1/2a( t)2 vi + vf. 0 + 2a(x x0) v2 = v2. Slope of line between 2 pts: vav = x. Slope of tangent line of a point: v = dx dt. Slope of a line between 2 pts: aav = v. Slope of tangent line of a point: a = dv dt. Area under a curve of a horizontal line v-t graph: v0 t = x (displacement). We must add lots of tiny displacements over tiny time intervals. (cid:90) v dt. X = dx1 + dx2 + dx3 + = v1dt1 + v2dt2 + = Given a v-t graph with a diagonal line slope: a = aav = (slope) vf vi tf ti. Near earth"s surface there is a constant acceleration due to gravity. |(cid:126)a| = g = 9. 8 m/s2 g always stands for the positive number, 9. 8 m/s2.
