> with(plots);

Warning, the name changecoords has been redefined

[animate, animate3d, animatecurve, arrow, changecoords, complexplot, complexplot3d, conformal, conformal3d, contourplot, contourplot3d, coordplot, coordplot3d, cylinderplot, densityplot, display, disp...[animate, animate3d, animatecurve, arrow, changecoords, complexplot, complexplot3d, conformal, conformal3d, contourplot, contourplot3d, coordplot, coordplot3d, cylinderplot, densityplot, display, disp...[animate, animate3d, animatecurve, arrow, changecoords, complexplot, complexplot3d, conformal, conformal3d, contourplot, contourplot3d, coordplot, coordplot3d, cylinderplot, densityplot, display, disp...

> plot(sin(x),x=0..Pi);

[Plot]

> xr:=(k,u,theta,t)->(u*cos(theta)/k)*(1-exp(-k*t));

xr := proc (k, u, theta, t) options operator, arrow; u*cos(theta)*(1-exp(-k*t))/k end proc

> yr:=(k,u,theta,t)->(-g*t/k)+((k*u*sin(theta)+g)/(k^2))*(1-exp(-k*t));

yr := proc (k, u, theta, t) options operator, arrow; -g*t/k+(k*u*sin(theta)+g)*(1-exp(-k*t))/k^2 end proc

> g:=9.8;

g := 9.8

> u:=20;theta:=(Pi/4);k:=1;F:=plot([xr(k,u,theta,t),yr(k,u,theta,t),t=0..3]);

u := 20

theta := 1/4*Pi

k := 1

F := INTERFACE_PLOT(CURVES([[0., 0.], [.895187166755298192, .874683891978265460], [1.62785478986571941, 1.55747600847775058], [2.40351751503821642, 2.24357925720069584], [3.13577221737015410, 2.852037...F := INTERFACE_PLOT(CURVES([[0., 0.], [.895187166755298192, .874683891978265460], [1.62785478986571941, 1.55747600847775058], [2.40351751503821642, 2.24357925720069584], [3.13577221737015410, 2.852037...F := INTERFACE_PLOT(CURVES([[0., 0.], [.895187166755298192, .874683891978265460], [1.62785478986571941, 1.55747600847775058], [2.40351751503821642, 2.24357925720069584], [3.13577221737015410, 2.852037...F := INTERFACE_PLOT(CURVES([[0., 0.], [.895187166755298192, .874683891978265460], [1.62785478986571941, 1.55747600847775058], [2.40351751503821642, 2.24357925720069584], [3.13577221737015410, 2.852037...F := INTERFACE_PLOT(CURVES([[0., 0.], [.895187166755298192, .874683891978265460], [1.62785478986571941, 1.55747600847775058], [2.40351751503821642, 2.24357925720069584], [3.13577221737015410, 2.852037...F := INTERFACE_PLOT(CURVES([[0., 0.], [.895187166755298192, .874683891978265460], [1.62785478986571941, 1.55747600847775058], [2.40351751503821642, 2.24357925720069584], [3.13577221737015410, 2.852037...F := INTERFACE_PLOT(CURVES([[0., 0.], [.895187166755298192, .874683891978265460], [1.62785478986571941, 1.55747600847775058], [2.40351751503821642, 2.24357925720069584], [3.13577221737015410, 2.852037...F := INTERFACE_PLOT(CURVES([[0., 0.], [.895187166755298192, .874683891978265460], [1.62785478986571941, 1.55747600847775058], [2.40351751503821642, 2.24357925720069584], [3.13577221737015410, 2.852037...F := INTERFACE_PLOT(CURVES([[0., 0.], [.895187166755298192, .874683891978265460], [1.62785478986571941, 1.55747600847775058], [2.40351751503821642, 2.24357925720069584], [3.13577221737015410, 2.852037...F := INTERFACE_PLOT(CURVES([[0., 0.], [.895187166755298192, .874683891978265460], [1.62785478986571941, 1.55747600847775058], [2.40351751503821642, 2.24357925720069584], [3.13577221737015410, 2.852037...F := INTERFACE_PLOT(CURVES([[0., 0.], [.895187166755298192, .874683891978265460], [1.62785478986571941, 1.55747600847775058], [2.40351751503821642, 2.24357925720069584], [3.13577221737015410, 2.852037...F := INTERFACE_PLOT(CURVES([[0., 0.], [.895187166755298192, .874683891978265460], [1.62785478986571941, 1.55747600847775058], [2.40351751503821642, 2.24357925720069584], [3.13577221737015410, 2.852037...F := INTERFACE_PLOT(CURVES([[0., 0.], [.895187166755298192, .874683891978265460], [1.62785478986571941, 1.55747600847775058], [2.40351751503821642, 2.24357925720069584], [3.13577221737015410, 2.852037...

> u:=20;theta:=(Pi/4);k:=0.01;F1:=plot([xr(k,u,theta,t),yr(k,u,theta,t),t=0..3]);

u := 20

theta := 1/4*Pi

k := 0.1e-1

F1 := INTERFACE_PLOT(CURVES([[0., 0.], [.924472635278525412, .903524589109167664], [1.72835964874540848, 1.65511290103901842], [2.63186841466973087, 2.46195265362791816], [3.54078252744914401, 3.23310...F1 := INTERFACE_PLOT(CURVES([[0., 0.], [.924472635278525412, .903524589109167664], [1.72835964874540848, 1.65511290103901842], [2.63186841466973087, 2.46195265362791816], [3.54078252744914401, 3.23310...F1 := INTERFACE_PLOT(CURVES([[0., 0.], [.924472635278525412, .903524589109167664], [1.72835964874540848, 1.65511290103901842], [2.63186841466973087, 2.46195265362791816], [3.54078252744914401, 3.23310...F1 := INTERFACE_PLOT(CURVES([[0., 0.], [.924472635278525412, .903524589109167664], [1.72835964874540848, 1.65511290103901842], [2.63186841466973087, 2.46195265362791816], [3.54078252744914401, 3.23310...F1 := INTERFACE_PLOT(CURVES([[0., 0.], [.924472635278525412, .903524589109167664], [1.72835964874540848, 1.65511290103901842], [2.63186841466973087, 2.46195265362791816], [3.54078252744914401, 3.23310...F1 := INTERFACE_PLOT(CURVES([[0., 0.], [.924472635278525412, .903524589109167664], [1.72835964874540848, 1.65511290103901842], [2.63186841466973087, 2.46195265362791816], [3.54078252744914401, 3.23310...F1 := INTERFACE_PLOT(CURVES([[0., 0.], [.924472635278525412, .903524589109167664], [1.72835964874540848, 1.65511290103901842], [2.63186841466973087, 2.46195265362791816], [3.54078252744914401, 3.23310...F1 := INTERFACE_PLOT(CURVES([[0., 0.], [.924472635278525412, .903524589109167664], [1.72835964874540848, 1.65511290103901842], [2.63186841466973087, 2.46195265362791816], [3.54078252744914401, 3.23310...F1 := INTERFACE_PLOT(CURVES([[0., 0.], [.924472635278525412, .903524589109167664], [1.72835964874540848, 1.65511290103901842], [2.63186841466973087, 2.46195265362791816], [3.54078252744914401, 3.23310...F1 := INTERFACE_PLOT(CURVES([[0., 0.], [.924472635278525412, .903524589109167664], [1.72835964874540848, 1.65511290103901842], [2.63186841466973087, 2.46195265362791816], [3.54078252744914401, 3.23310...F1 := INTERFACE_PLOT(CURVES([[0., 0.], [.924472635278525412, .903524589109167664], [1.72835964874540848, 1.65511290103901842], [2.63186841466973087, 2.46195265362791816], [3.54078252744914401, 3.23310...F1 := INTERFACE_PLOT(CURVES([[0., 0.], [.924472635278525412, .903524589109167664], [1.72835964874540848, 1.65511290103901842], [2.63186841466973087, 2.46195265362791816], [3.54078252744914401, 3.23310...F1 := INTERFACE_PLOT(CURVES([[0., 0.], [.924472635278525412, .903524589109167664], [1.72835964874540848, 1.65511290103901842], [2.63186841466973087, 2.46195265362791816], [3.54078252744914401, 3.23310...

> display({F,F1});

[Plot]

> help(animate);

> u:=20;theta:=(Pi/4);k:=2;animate( pointplot, [ [[xr(k,u,theta,t),yr(k,u,theta,t)]], symbol=circle, symbolsize=20,color=red],
        t=0..2, frames=60);

u := 20

theta := 1/4*Pi

k := 2

[Plot]

>