A car of mass
m is initially at rest on the the boat of mass
M tied to the wall of dock through a massless, inextensible string. The car accelerates from rest to velocity
ν0 in times
t0. At
t=t0 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