Final speed of the platform in situation (i), i.e., just after both A and B have jumped will be :

2 m/s

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6 m/s

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5 m/s

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3 m/s

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Solution

The correct option is A 2 m/s
$L e t t h e v e l o c i t y o f t h e p l a t f o r m b e v, t h e n t h e v e l o c i t y o f t w o m e n w i l l b e v - (- 3) = v + 3. B y c o n s e r v a t i o n o f m o m e n t u m 0 = 50 \times v + (60 + 40) \times (v + 3) \Rightarrow v = 2 m / s$

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