2. A blue cart is initially stationary. A red cart starts out behind the blue cart moving quicklyon a parallel track, but is slowing down at a constant rate of 0.30 m/s?. The red cart ismoving at a speed of 2.80 m/s at the moment it passes the blue cart. At that same momentthe blue cart begins to speed up at a constant rate of 0.40 m/s².a) How much time passes before the blue cart catches up with the red cart again?b) How far have the carts traveled from when the red cart passes the blue cart until theblue cart catches up?c) At what time do the carts have the same velocity? Where is each cart at this time?d) Make careful velocity vs. time and position vs. time graphs of the carts' motion fromwhen the red cart passes the blue cart until the blue cart catches up. (see next page.)

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