Two particles, A and B, are moving in a straight line. Take this to be the x-axis. At t=0, particle A is trailing particle B, initially at some distance x behind B. Particle B is accelerating at a constant 2.00m/s^2 and particle A is constantly accelerating at 3.00m/s^2. Particle A was able to overtake B after B has moved 50.0 m.  (a) How long does it take for particle A to overtake B? (b) Initially, how far was A behind B? (c) How fast are the two particles moving as soon as they’re at the same position?

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Two particles, A and B, are moving in a straight line. Take this to be the x-axis. At t=0, particle A is trailing particle B, initially at some distance x behind B. Particle B is accelerating at a constant 2.00m/s^2 and particle A is constantly accelerating at 3.00m/s^2. Particle A was able to overtake B after B has moved 50.0 m. 

(a) How long does it take for particle A to overtake B?

(b) Initially, how far was A behind B?

(c) How fast are the two particles moving as soon as they’re at the same position?

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