The wind is blowing in the direction of a vector pointing at an angle 30 degrees to the east of due north, at 35 miles/hour. an airplane that can go 320 miles/hour in still air points itself due north at the start of a race. the other airplane points itself with the wind directly at its back. it can go 305 miles/hour. how long will it take each plane to cover 1 degree of latitude?

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