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Motion Under Variable Acceleration

Two particles...

Question

Two particles A and B start moving from origin. Particle A moves from rest along positive x axis and B moves at an angle 37 degree from postive x axis in x-y plane.A is moving with constant velocity 'V' and B with comstant acceleration 'a'.If x coordinate of A and B becomes equal after 5 seconds. Then find V/a

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Solution

Dear Student,

$d i s p l a c e m e n t b y A i n 5 s e c x = 5 v x d i r e c t i o n a c c n o f B a \cos 37 = \frac{4 a}{5} x c o o r d i n a t e o f B a f t e r 5 s e c w i l l b e x x = \frac{\frac{4 a}{5} \times 5^{2}}{2} = 10 a 5 v = 10 a \frac{v}{a} = 2 R e g a r d s$

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