Make PlotLabels label multiple plots on the same graphic

How do I make PlotLabels label multiple plots? I want each of the five plots labeled with its value of t.

u = E^t (4 - 4 E^t + E^t x)^2
Plot[u /. t -> {0, .2, .4, .8, 1.6}, {x, -5, 5}, 
 AxesLabel -> {x, "u"}, PlotRange -> {0, 200}, 
 PlotLabels -> {0, .2, .4, .8, .1.6}]

This should do the trick.

u = E^t (4 - 4 E^t + E^t x)^2
Plot[Evaluate[u /. t -> {0, .2, .4, .8, 1.6}], {x, -5, 5}, 
 AxesLabel -> {x, "u"}, PlotRange -> {0, 200}, 
 PlotLegends -> {0, .2, .4, .8, .1, .6}]

Yes, it does the trick nicely. Thanks Martijn Froeling.