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Skills:
Create quantitative graphs with appropriate scales and units, including plotting data.
Derive a symbolic expression from known quantities by selecting and following a logical mathematical pathway.
Predict new values or factors of change of physical quantities using functional dependence between variables.
Create experimental procedures that are appropriate for a given scientific question.
Justify or support a claim using evidence from experimental data, physical representations, or physical principles or laws.
Objectives:
Describe the perpendicular components of a vector.
Vectors can be mathematically modeled as the resultant of two perpendicular components.
Vectors can be resolved into components using a chosen coordinate system.
Vectors can be resolved into perpendicular components using trigonometric functions and relationships.
Describe the motion of an object moving in two dimensions.
Motion in two dimensions can be analyzed using one-dimensional kinematic relationships if the motion is separated into components.
Projectile motion is a special case of two dimensional motion that has zero acceleration in one dimension and constant, non-zero acceleration in the second dimension.
Some Guiding Ideas
Some Guiding Ideas
Learning Progression:
Will the hunter hit the monkey? (Qualitative)
Determine the initial velocity of various marbles at three settings of a marble launcher. (Quantitative)
Determine Velocity: Zero Vertical Velocity
Verify Velocity: Predict time to land
Parabolic Motion:
Video Analysis of thrown objects.
Breaking motion into components.
Solving parabolic problems
Deriving the Range Equation for 2-D motion.
You are watching a National Geographic Special on television. One segment of the program is about archer fish, which inhabit streams in southeast Asia. This fish actually "shoots" water at insects to knock them into the water so it can eat them. The commentator states that the archer fish keeps its mouth at the surface of the stream and squirts a jet of water from its mouth at 13 feet/second. You watch an archer fish shoot a juicy moth off a leaf into the water. You estimate that the leaf was about 2.5 feet above a stream. You wonder at what minimum angle from the horizontal the water can be ejected from the fish's mouth to hit the moth. Since you have time during the commercial, you quickly calculate this angle.
Terminal Velocity
Terminal Velocity
As the filter falls,
diagram the forces acting on the filter at these points:
Release
Mid-fall
Near the bottom
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