You decide to go to a local park and ride the merry go round. a friend pushes you until you're moving at a very fast rate. at this time, you decide to jump off in order to show off in front of some friends who are watching. the following diagram shows a top view of possible paths that you may follow. which path would you follow and why?

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