===== Pre-lecture: Constant Force Motion ===== * The MP predicts the motion of systems: write out predictive bit * When the net force is a constant vector, the motion is quite special (velocities and positions can be predicted exactly) * Let's take a special case of one-dimensional motion with constant force (derivation equally applies to vector) - fan cart moving under constant fan force * Write out prediction equations: show prediction of final velocity. This net force over m is acceleration - kinematic equation to predict velocity from observation (graph of v vs t) * Discuss average velocity - displacement version and arithmetic: use previous equation to calculate average v * plug into position prediction equation: obtain 2nd kinematic equation (graph of x vs t) - emphasize exactness of the equations b/c constant force * Where's the calculus? * Discussion of graphs and slope/area under curve * Abstract to 3D.