Random Forests Feature Selection on Time Series Data I have a dataset with N features, each one with 500 instances in time.

For example, let's say that I have the following: 
Features x, y, v_x, v_y, a_x, a_y, j_x, j_y, 
A sample with 500 examples (rows in a table) for each feature, 
A sample with 500 other instances, and a class.

I'd like to select a subset of the features automatically with the Random Forests algorithm. The problem is that the algorithm (I'm using ScikitLearn, RandomForestClassifier), accepts a matrix (2D array) as X input, of size [N_samples, N_features]. If I give the array as it is, that is a vector (len 500) for the feature x, another (len 500) for the feature y, etc., I get a N_samples x N_features x 500 array, which is incompatible with the requirements of RandomForestClassifier.

I tried to unroll the matrix in a vector, like having so 500 x N_features array, but in that way, in the reduction, it considers all the elements independent feature, and breaks my structure.

How can I select/reduce the features keeping the time instances consistent? 
(I can use this algorithm, but i'm also open to other libraries and/or algorithms)

My goal is to do classification, so forecasting resources are limitedly useful to me. Also I have the requirement that each sample has those occurrences, and I don't have them as separate samples unfortunately.
Some EDA might be needed to create new features for each time-series item. You might want to mine for patterns and have random forest reduce the overfitting. Exactly how mining is done depends on the nature of the problem, which might indicate for things like: 


interesting time periods, 
events that happen at a time, 
time lag between different series,
dynamical systems,
latent variables,
scedasticity


Breiman's landmark paper on random forest gives some theoretical guarantees that random forest works well when individual classifiers are good and the correlation between these individuals are low. This can also be a heuristic to prune features.