1. Two particles move in the xy-plane. At time t, the position of particle A is given by for some number k, and the position of particle B is given by

x(t) = 3t - 5 , y(t) = 4t-k

x(t) = 2t , y(t) = t^2 -2t -1

a) Find a cartesian equation of the curve traced out by particle B

y(x) = __________

b) Find k so that the two particles collide

k = ____________

c) find the speed of particle B when t = 1 _____________