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Figure shows a small block A of mass m k...

Figure shows a small block `A` of mass `m` kept at the left end of `a` plank `B` of mass `M = 2m` and length `l` . The system can side on a horizontal road. The system is started towards right with the initial velocity `v`. The friction coefficient between the road and the plank is `1//2` and that between the plank and the block is `1//4` . Find

(a) the time elapsed before the block separates from the plank
(b) displacement of block and plank relative to ground till that moment.

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