Adog wishes to swim across a slow-moving stream. the dog can swim at 2.0m/s in calm water. the velocity of the current is 3.0m/s. the distance directly across the stream is 50m.
a) how long does it take dog described above to swim 50m in a bost of water that has no current?
b) how far downstream will current have carried the dog in the time it takes the dog to get across the stream?
c) calculate dog’s resultant velocity relative to bank from where the dog started.

Asquare 1m x 1m plate is shown below. all four of its edges are kept at 0 co. at t=0the temperature distribution is given by: y xtsins n75)=.a) using separation of variables determine the temperature distribution t(x,y,t)along the plate at any time t.b) discretize the heat conduction equation +=22222 txtusing a second-order centered difference scheme for the two second derivatives and a first-order forward euler scheme for the first derivative. using von neumann stability analysis, determine the stability criterion for the proposed discretization scheme in terms of , hand t. solve for the maximum allowable time step tmax