Constant Velocity Model Notes: Physics 9 Name Period 1 2 3 4 5 6 7 Date Physics Topic Description position A location in comparison to a reference point. Position has size (number) & direction (+ or - mean left or right etc). distance When used carefully, distance = length of the path traveled. When sloppy, say distance when mean position or displacement. displacement Displacement.=”delta d”=Change in position=Δd = df - do Δd = df - do = d2-d1 displacement=final position(df) - original position (do) speed How fast an object changes position.. s=d/t velocity How fast and in what direction. Defined as the slope of a position vs time graph. Also defined as eqn: slope 𝑟𝑖𝑠𝑒 𝑟𝑢𝑛 = 𝑦2 − 𝑦1 𝑥2− 𝑥1 steepness of the graph. Means different things Symbol shorthand in equations Meters, m d Where a graph crosses the y-axis. Means different things on different graphs. X-Y Scatter Plot Plot data points on an x and y axis to show their relationship. Best - Fit Line A line that best represents all data. Sometimes called a curve-fit, or a trendline. Independent Variable The variable we manipulate and change. Dependent Variable The variable we observe and measure to record its behavior from our changes to the independent variable Graphical Representation Representing a physics phenomena or a physics MODEL on a graph. Diagramatic Representation Represent a physics phenomena or a physics MODEL with a diagram or drawn picture Mathematical Representation Represent a physics phenomena or a physics MODEL with an equation. Meters, m Meters, m s 𝑚 𝑠 𝑚 𝑠 m Depends on what is graphed. b Depends on what is graphed. on different graphs. Slope of d vs t ≡ velocity y-intercept Units: Metric system measure Word Based Representation Represent a physics phenomena or physics MODEL with words describing the relationship between variables. Representations Arduino Buggy Lab Graphical Representation Mathematical Representation L4-Graphing v vs t Arduino Buggy Lab Graph above is a straight line so 𝑦 = 𝑚𝑥 + 𝑏 Replace y & x with axis labels Slope represent velocity L4-Graphing v vs t Lab Reference: Lab Reference: Area between v graph & t axis= displacement Area = Base x Height Area = Velocity x time Displacement = Velocity x time interval Y-intercept represents starting position Δd = vΔt Also written as: d2 = vΔt + d1 Diagramatic Representation Lab Reference: Arduino Buggy Lab Dots represent position of object. Arrow represents velocity of object when the object is at the dot’s position. Word based Representation The buggy starts with a positive position. When time increases, the buggy’s position also increases. Δd = vΔt Displacement is proportional to velocity Assumptions of this model: Any changes in velocity are small enough to ignore.