Two particles start together from the same point. A has initial velocity u and constant acceleration a>0. B moves with constant velocity V, where V>u. Apart from t=0, the distance from the starting point at their next meeting is:
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Question

Two particles start together from the same point. A has initial velocity u and constant acceleration a>0. B moves with constant velocity V, where V>u. Apart from t=0, the distance from the starting point at their next meeting is:

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G1 Physics · Accepted Answer

Positions: position of A = ut + at²/2, position of B = Vt. For the non-zero meeting time, u + at/2 = V ⇒ t = 2(V−u)/a. Meeting position: x = Vt = 2V(V−u)/a.