Three balls \(A, B, C\) of respective masses \(5\text{ kg}, 5 \text{ kg}, 20 \text{ kg}\) stand in a row in that order.

Now, ball \(A\) moves towards \(B\) at speed \(1\text{ m/s}\) while \(B\) and \(C\) are still at rest. There aren't any frictional forces, and the collision between balls \(A\) and \(B\) are perfectly elastic.

If the final velocity of ball \(C\) is \(0.4\text{ m/s},\) what will be the final speed \((\)in \(\text{m/s})\) of ball \(A,\) to 1 decimal place?

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