2 added 4 characters in body
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You can't manipulate the t of your plot function.

Try this

curve = Manipulate[ParametricPlot[abc[b, n, 0, t], {t, tStart, tStart + tPlus}, 
PlotStyle -> {Thick}], {{tStart, 0.7, "start"}, 0, 
1}, {{tPlus, 0.5, "plus"}, 0, 1}];

You can't manipulate the t of your plot function.

Try this

curve = Manipulate[ParametricPlot[abc[b, n, 0, t], {t, tStart, tStart + tPlus}, 
PlotStyle -> {Thick}], {{tStart, 0, "start"}, 0, 
1}, {{tPlus, 0, "plus"}, 0, 1}];

You can't manipulate the t of your plot function.

Try this

curve = Manipulate[ParametricPlot[abc[b, n, 0, t], {t, tStart, tStart + tPlus}, 
PlotStyle -> {Thick}], {{tStart, 0.7, "start"}, 0, 
1}, {{tPlus, 0.5, "plus"}, 0, 1}];
1
source | link

You can't manipulate the t of your plot function.

Try this

curve = Manipulate[ParametricPlot[abc[b, n, 0, t], {t, tStart, tStart + tPlus}, 
PlotStyle -> {Thick}], {{tStart, 0, "start"}, 0, 
1}, {{tPlus, 0, "plus"}, 0, 1}];