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Relative Motion in 1D

Two particles...

Question

Two particles A and B stars simultaneously from the same point . A moves with constant velocity of 25 m/s and B starts from rest but with uniform acceleration of 2 m/s^2.Find the time after which they will meet again .

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Solution

$D i s \tan c e t r a v e l l e d b y C a r A, s = u t + \frac{1}{2} a t^{2} = u t (a s i t t r a v e l l e d w i t h c o n s \tan t v e l o c i t y s o, a = 0) s = 25 t . . . . (1) D i s \tan c e t r a v e l l e d b y C a r B s = \frac{1}{2} a t^{2} (a s u = 0) s = \frac{1}{2} \times 2 \times t^{2} = t^{2} . . . . (2) S o, w h e n t h e y m e e t e q n (1) i s e q u a l t o (2) 25 t = t^{2} S o, t = 25 s e c S o, t h e y w i l l m e e t a f t e r 25 s e c .$

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Relative Motion in 1D

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