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**kinematics one dimension. help!!**

hi i've had a lot of trouble with this problem and i hope someone can help me.

Car B starts from rest and accelerates at 2.00m/s^2 along a straight road. Car A starts from rest at the same instant 20.0 m behind car B and accelerates 3.00 m/s^2. How far must car A move in order to catch car B? What will be the speeds of car A and car B?

im pretty sure that the time is equal in both cases so t_a=t_b. but it is also asking for distance, and i don't see any equation that requires only acceleration and initial velocity. i have no idea where that 20 m behind goes to.

Can someone explain this problem to me and show me how to do it? I am very confused. Thanks!!

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