﻿ Untitled 1 Chapter 3 Test Information
• Test format:
• Part 1: 11 multiple choice / short answer.  One question will ask you to express 1m/s in mph.
• Part 2:  Problems
• 2 "River" problems (2-4 parts each) -- Constant velocity in 2 dimensions.  Provide answers in terms of magnitude and direction (relative to some known direction).
• 1 orthogonal problem (two vectors will form a right triangle)
• 1 non-orthogonal problem (often requires resolving components further into their individual x and y components, making a table wherein x and y components of component vectors are added to get the resultant x and y components, and finally re-combining x and y components to find the resultant magnitude and direction.)
• You may be asked to find either a component or the resultant.  Students usually have more trouble finding a component.
• 3 Projectile Problems (2-3 parts each) -- Kinematics in 2-D with acceleration due to gravity.
• Symmetric problem
• "half" of a symmetric problem
• Asymmetric problem
• Sources for Similar Problems/Questions:  All of the unit 2 assignments and notes.
• Some Important Concepts:
• Memorize -- 1m/s ≈ 2.24mph.
• Determine the magnitude and direction of a vector (e.g. "degrees above +X" or "degrees north of west"), given its components
• Find a missing vector using the concept of head-to tail addition
• "River problems"
• Identifying the resultant and component vectors
• Solve for one of these: current or wind speed and/or direction (component), object speed and heading relative to water or air (component), actual object velocity relative to the earth (resultant)
• Solve orthogonal (components aligned with x and/or y axes) and non-orthogonal river problems
• Motion in terms of x and y...
• Remember the independence of x and y components of projectile behavior
• Resolving a vector into x and y components
• Adding x and y vectors to get a magnitude and direction of a resultant
• SohCahToa
• Finding angles with inverse functions.
• Narrate what happens to vx and vy at all points during the flight of a projectile and explain why.
• Given a drawing of a projectile's trajectory, draw the projectile's v, vx, and vy vectors with appropriate lengths and directions, at any point in the diagram.
• Determine any of the following for a projectile:
•  x or y displacement  (or height or distance)
• time aloft
• x or y velocity (initial or at any point in time)
• speed and direction (angle)
• Provided formulas: same as last test, plus the range formula.