# Combination of two ParametricPlot in one plot?

I have two ParametricPlot in the following form:

ParametricPlot[{1 + (3*t^2)/2 - t^4/24, 4*t - t^3/3}, {t, 0, 1}]


and

ParametricPlot[{-(11/48) - (59*t)/48 + (203*t^2)/96 + (59*t^3)/
288 - (107*t^4)/1152 - (59*t^5)/5760,
-(59/48) + (251*t)/48 + (59*t^2)/96 - (155*t^3)/288 - (59*t^4)/
1152 + (59*t^5)/5760}, {t, 1, 3/2}]


I want to have one plot in 0<t<3/2.

• You might want to use Piecewise[] for this. – J. M. will be back soon Jun 15 '16 at 14:06

This is what J.M. is suggesting

f[t_] = Piecewise[
{{{1 + (3*t^2)/2 - t^4/24, 4*t - t^3/3}, 0 < t < 1},
{{-(11/48) - (59*t)/48 + (203*t^2)/96 + (59*t^3)/ 288 - (107*t^4)/1152
- (59*t^5)/5760, -(59/48) + (251*t)/ 48 + (59*t^2)/96 - (155*t^3)/288
- (59*t^4)/1152 + (59*t^5)/ 5760}, 1 < t < 3/2}}]

ParametricPlot[f[t], {t, 0, 3/2}, AspectRatio -> 0.5] (And that's how you steal other's credit ;) )

• :D Thanks for following through. – J. M. will be back soon Jun 15 '16 at 17:37
• what is the problem? and what do you mean by two separate distances? – Sumit Jun 17 '16 at 11:19
ParametricPlot[
If[t < 1, {1 + (3*t^2)/2 - t^4/24, 4*t - t^3/3},
{-(11/48) - (59*t)/48 + (203*t^2)/96 + (59*t^3)/
288 - (107*t^4)/1152 - (59*t^5)/5760, -(59/48) + (251*t)/
48 + (59*t^2)/96 - (155*t^3)/288 - (59*t^4)/1152 + (59*t^5)/
5760}],
{t, 0, 3/2}]


Because of the discontinuity at $t=1$, you may want to add Exclusions -> 1.