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.
- Add vectors head-to-tail
- 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.