PhyFl18SS2.3.4 future millionaires and billionairs.

PhyFl18SS2.3.5 AP Physics students take advantage of a few free minutes to prep for one of those killer tests.

PhyFl18SS2.3.6 Foosball Championship

PhyFl18SS2.3.7 . . .

PhyFl18SS2.3.8 . . . n as I get time

PhyFl18SS2.3.9 Brackets

PhyFl18SS2.3.10Winners . . .Cantina Bucks!!

PhyFl18SS2.3.11 1st hour’s class data from Galileo’s Experiment

PhyFl18SS2.3.12 2nd hour’s class data from Galileo’s Experiment

PhyFl18SS2.3.13 3rd hour’s class data from Galileo’s Experiment

PhyFl18SS2.3.14 6th hour’s class data from Galileo’s Experiment

PhyFl18SS2.3.15 7th hour’s class data from Galileo’s Experiment

PhyFl18SS2.3.16All the possible linear graphs of motion that you will experience today.

PhyFl18SS2.3.17 An inverse relationship

PhyFl18SS2.3.18I show this to give you an example of all the ways to write the letter k. So you have to be careful withs your caps and lower case and cursive.

PhyFl18SS2.3.19 Your guess for what the graph of a ball rolling up the incline and back down looks like.

PhyFl18SS2.3.20 . . . .

PhyFl18SS2.3.21 . . .

PhyFl18SS2.3.22 . . .

PhyFl18SS2.3.23What the graph SHOULD look like. The furthest it goes is called the apex.

PhyFl18SS2.3.24 Apogee Perigee

PhyFl18SS2.3.25 Simple Harmonic Motion (SHM).

PhyFl18SS2.3.26 Damping

PhyFl18SS2.3.27 The slope of the secant is the average velocity. The slope of the tangent is what we REALLY want. because it is the instantaneous velocity.

PhyFl18SS2.3.28 Drawing a tangent line is easy for circles. It is simply perpendicular to the radius. The problem Newton and us has is that we aren’t finding the tangent to a circle. We are finding the tangent to a curve.

PhyFl18SS2.3.29 We use this cool trick to “fool” the algebra (secant slope) into becoming calculus (tangent slope) at that one brief shining moment that is the midtime of a time segment for a parabola. (This only works in parabolic situations.)

PhyFl18SS2.3.31 We get two very good equations out of this

PhyFl18SS2.3.32 HEre are the three equations we are goin gto use to determine the 3 Orange kinematic Equations next week. Then we can stop all this graphing.

PhyFl18SS2.3.33A very valuable equation

PhyFl18SS2.3.34 Going to the graph below in a trio is accomplished by taking the slope of the graph above.

PhyFl18SS2.3.35 m/s/s is the same thing as m/s^2

PhyFl18SS2.3.36 Slope (or derivative) to get to the graph below. Area or integral to get to the graph above.

PhyFl18SS2.3.37From sheet 2.8

PhyFl18SS2.3.38 We rolled the ball down the 9 meter tube out in the courtyard. We looked down the holes which we drilled every 1 meter.

PhyFl18SS2.3.39 1st hour data from the ball rolling down the tube

PhyFl18SS2.3.40 2nd hour data from the ball rolling down the tube

PhyFl18SS2.3.41 3rd hour data from the ball rolling down the tube

PhyFl18SS2.3.42 6tht hour data from the ball rolling down the tube

PhyFl18SS2.3.43 7th hour data from the ball rolling down the tube

PhyFl18SS2.3.44 Remember, nature paints with a broad brush. Relationships are relatively simple in the macroscopic world. The middle curve above is too complicated for macroscopic relationships that we study in kinematics. Look for the general trends. Don’t go chasing after anomalies.

PhyFl18SS2.3.45 We started to look at the Beautiful Patterns