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Students will understand that patterns describe changes in motion.
In what ways is "safe driving" measured?What makes a driver "safe"?How can we become better drivers with respect to safety?Objectives:
PSc.1.1 Understand motion in terms of speed, velocity, acceleration, and momentum. PSc.1.1.1 Explain motion in terms of frame of reference, distance, and displacement. PSc.1.1.2 Compare speed, velocity, acceleration, and momentum using investigations, graphing, scalar quantities, and vector quantities.Common Core Math: Vector and Matrix Quantities Represent and model with vector quantities. Perform operations on vectors.
Resources:
Resources:
Textbook: Glencoe Physical Science: Chapter 2
The Physics Classroom:
Lesson 1 - Describing Motion with WordsDistance and DisplacementSpeed and VelocityAccelerationLesson 2 - Describing Motion with DiagramsIntroductionTicker Tape DiagramsVector DiagramsLesson 3 - Describing Motion with Position vs. Time GraphsThe Meaning of Shape for a p-t GraphMeaning of Slope for a p-t GraphDetermining the Slope on a p-t GraphLesson 4 - Describing Motion with Velocity vs. Time GraphsMeaning of Shape for a v-t GraphMeaning of Slope for a v-t GraphRelating the Shape to the MotionDetermining the Slope on a v-t GraphDetermining the Area on a v-t GraphLesson 5 - Free Fall and the Acceleration of GravityIntroductionAcceleration of GravityRepresenting Free Fall by GraphsHow Fast? and How Far?The Big MisconceptionDetailed Objectives:
PSc.1.1.1• Interpret all motion as relative to a selected reference point. Identify distance and displacement as a scalar-vector pair.• Describe motion qualitatively and quantitatively in terms of an object’s change of position, distance traveled, and displacement.PSc.1.1.2• Compare speed and velocity as a scalar-vector pair. Velocity is a relationship between displacement and time: v =• Apply concepts of average speed and average velocity to solve conceptual and quantitative problems.• Explain acceleration as a relationship between velocity and time•Using graphical analysis, solve for displacement, time, and average velocity. Analyze conceptual trends in the displacement vs. time graphs such as constant velocity and acceleration.•Using graphical analysis, solve for velocity, time, and average acceleration. Analyze conceptual trends in the velocity vs. time graphs such as constant velocity and acceleration.• Infer how momentum is a relationship between mass and velocity of an object, p = mv . The focus should be on the conceptual understanding that the same momentum could be associated with a slow-moving massive object and an object moving at high velocity with a very small mass (e.g.- 100 kg object moving 1 m/s has the same momentum as a 1-kg object moving 100m/s)• Explain change in momentum in terms of the magnitude of the applied force and the time interval that the force is applied to the object. Everyday examples of the impulse/momentum relationship include: the use of airbags in cars; time of contact and “follow-through” in throwing, catching, kicking, and hitting objects in sports; bending your knees when you jump from a height to the ground to prevent injury.Common Core Math:Vector and Matrix QuantitiesRepresent and model with vector quantities.1. (+) Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes2. (+) Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.3. (+) Solve problems involving velocity and other quantities that can be represented by vectors. Perform operations on vectors.4. (+) Add and subtract vectors.a. Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.b. Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.c. Understand vector subtraction v – w as v + (–w), where –w is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction.
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