Is acceleration possible without motion ?

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string1037
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Is acceleration possible without motion ?
I ve faced this in some problems like following-
two particles A and B are at a point initially. A is moving with constant velocity 'v' while B is not moving. But B possesses a constant acceleration 'a'. After how much time they ll be at a distance 's' ?

In this problem I didn't understand how B possesses a constant acceleration if its not moving !
 
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It just means that B is not moving initially - it's initial velocity is zero. Since it has an acceleration, it will start moving, and for all times greater than t=0, it will have a non-zero velocity.
 


To help you picture this, imagine throwing a ball upward. The ball has a constant acceleration downward due to gravity. At its maximum height it has a velocity of zero but the acceleration is still the same value. Or imagine Superman pushing against a train that is initially moving...eventually the train will stop and then start moving in the opposite direction if he keeps pushing.
 


oh. . .gotcha. . . .thnx a lot guyz. . .