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Car A starts from rest and accelerates in the x-direction at 4 m/s^2 at the precise...

Car A starts from rest and accelerates in the x-direction at 4 m/s^2 at the precise moment that it is passed by Car B traveling in the same direction at a constant speed of 40 m/s. (Draw a free-body diagram).

                      a) How long does it take Car A to catch Car B?

                      b) How far has Car A traveled when it catches Car B?

                      c) How fast is Car A traveling when it catches Car B?

                      d) Draw a plot of x vs.t for the motion of these cars. Please label the axes with the correct numbers and units.

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