A girl at the top of an 80.0 m cliff throws a rock with a velocity of 10.0 m/s at a 60° angle from the horizontal. 1. Calculate the vertical (y) and horizontal (x) components of the initial velocity (viy and vix): 2. Calculate the time it takes for the rock to hit the ground below: 3. Calculate the speed of the rock when it hits the ground: 4. Calculate how far from the cliff the rock will be when it hits the ground:

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