Throwing a ball #2

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2021-08-30T12:30:32Z

hgeorgi commented

2021-08-30 12:30:32 +00:00

(Migrated from gogs.azgeorgis.net)

I think that the strategy you used in the rainbow programs of changing the density of lines might be interesting for Morin's "Throwing a ball" example and maybe other maximizing examples. Here is an illustration from Mathematica (not very good because I couldn't make dtheta small enough - parametricplot has too much overhead.
Table[Show[
ParametricPlot[
Table[{CosTheta*t, SinTheta*t - t^2/2}, {[Theta], 0,
1.5, s}], {t, 0, 3}, PlotRange -> {{0, 1.5}, {-.5, .5}}],
Graphics[{Text["x and y in
units of !(*SuperscriptBox[(v), (2)])/g", {1.3, .3}]}]], {s,
.1, .05, -.002}];

PS - sorry for putting the previous issue in the title - early in the morning here.

I think that the strategy you used in the rainbow programs of changing the density of lines might be interesting for Morin's "Throwing a ball" example and maybe other maximizing examples. Here is an illustration from Mathematica (not very good because I couldn't make dtheta small enough - parametricplot has too much overhead. Table[Show[ ParametricPlot[ Table[{Cos[\[Theta]]*t, Sin[\[Theta]]*t - t^2/2}, {\[Theta], 0, 1.5, s}], {t, 0, 3}, PlotRange -> {{0, 1.5}, {-.5, .5}}], Graphics[{Text["x and y in units of \!\(\*SuperscriptBox[\(v\), \(2\)]\)/g", {1.3, .3}]}]], {s, \ .1, .05, -.002}]; PS - sorry for putting the previous issue in the title - early in the morning here.

rgeorgi commented

2021-08-30 22:34:30 +00:00

(Migrated from gogs.azgeorgis.net)

Was that what you were thinking of?
https://azgeorgis.net/rmg/morin/throwingABall.html

Was that what you were thinking of? https://azgeorgis.net/rmg/morin/throwingABall.html

rgeorgi commented

2021-09-01 00:28:11 +00:00

(Migrated from gogs.azgeorgis.net)

Added throwing a ball program

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Reference: rgeorgi/ClassicalMechanicsPrograms#2