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A car of mass m is initially at rest on ...

A car of mass `m` is initially at rest on the boat of mass `M` tied to the wall of dock through a massless, inextensible string. The car accelerates from rest to velocity `v_(0)` in times to. At `t = t_(0)` the car applies brake and comes to rest relative to the boat in negligible time. Neglect friction between the boat and water: the time `'t'` at which boat will strike the wall is

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