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The position of particle P at time t is given by x=t,y=2t-1and the position of particle Q at time t is given by x=3t-(t^2),y=t+1
a) Sketch both paths as well as possible. Be sure to label thepaths with the particles (P and Q) traveling on each of them.b) Find the two point of intersection of the paths excatly usingalgebra.c) Do the particles ever collide? You should support your answerwith some reason.