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- Dedicated to Michael David Blumenfeld
- FUNC <-> PAR mode:
- - Hit the MODE button, next to the 2ND key.
- - On the fourth line, highlight either FUNC or PAR.
- - 2ND-QUIT. Done!
- - Yes, this quickly becomes really, really annoying.
- Entering a parametric equation:
- - Ensure you're in PAR mode.
- - With properly written equations (good luck!), enter into X1T and Y1T.
- - t is entered with the same button as the rectangular variable x- it's labeled X,T,Θ,n.
- - Remember, X1T(t) represents the horizontal distance traveled and Y1T(t) represents the height at t seconds.
- - Hitting GRAPH in PAR mode will give a picture of the trajectory of the object in question.
- Getting useful graphs of [something] over time:
- - Switch to FUNC mode.
- - To access your functions from parametric mode:
- - VARS -> Y-VARS -> Parametric...
- - Enter Y1T(x) for height over time or X1T(x) for horizontal distance over time.
- - The rectangular variable X represents time; since Y1T(t) represents height at t seconds, Y1T(x) is height at x seconds.
- - Everything you need from here should be available under the CALC menu.
- - Converting from PAR to FUNC mode is necessary since the CALC menu options aren't accessible in PAR mode. Those idiots.
- The annoying problems with two moving objects:
- - Usually you'll find where the objects cross or get closest to each other.
- - In PAR mode, enter in equations for the motion of the first object in X1T and Y1T.
- - Enter in equations for the motion of the second object in X2T and Y2T.
- - Y3T(t) will represent the distance between the two objects.
- - X3T(t) = t [don't think it matters. Just do it]
- ___________________________________________
- - Y3T(t) = √[ (X1T(t) - X2T(t))² + (Y1T(t) - Y2T(t))² ] (it's horrible, I know, but it's just distance formula. Whole thing is in that sqrt)
- - Now you can graph Y3T(x) in rectangular mode and the function you receive will represent distance between the two objects over time.
- - CALC -> minimum is your friend here
- ALSO: Parametric graphs take an annoyingly long time to graph on a graphing calculator. Not much you can do about this.
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